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Finding the Fourth Proportional to 7,640.50, 11,460.76 and 2,446.78

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Solution

The fourth proportional to 7,640.50, 11,460.76 and 2,446.78 is: 3,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.50 : 11,460.76 = 2,446.78 : x
  2. Step 2: Convert to fraction form
    7,640.50/11,460.76 = 2,446.78/x
  3. Step 3: Cross multiply
    7,640.50x = 11,460.76 × 2,446.78
  4. Step 4: Simplify right side
    7,640.50x = 28,041,958.35
  5. Step 5: Solve for x
    x = 28,041,958.35/7,640.50
  6. Step 6: Final answer
    x = 3,670.17

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.