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Finding the Fourth Proportional to 1,902.96, 2,624.76 and 1,240.20

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Solution

The fourth proportional to 1,902.96, 2,624.76 and 1,240.20 is: 1,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.96 : 2,624.76 = 1,240.20 : x
  2. Step 2: Convert to fraction form
    1,902.96/2,624.76 = 1,240.20/x
  3. Step 3: Cross multiply
    1,902.96x = 2,624.76 × 1,240.20
  4. Step 4: Simplify right side
    1,902.96x = 3,255,227.35
  5. Step 5: Solve for x
    x = 3,255,227.35/1,902.96
  6. Step 6: Final answer
    x = 1,710.61

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.