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Finding the Fourth Proportional to 7,736.70, 10,670.06 and 5,218.40

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Solution

The fourth proportional to 7,736.70, 10,670.06 and 5,218.40 is: 7,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.70 : 10,670.06 = 5,218.40 : x
  2. Step 2: Convert to fraction form
    7,736.70/10,670.06 = 5,218.40/x
  3. Step 3: Cross multiply
    7,736.70x = 10,670.06 × 5,218.40
  4. Step 4: Simplify right side
    7,736.70x = 55,680,641.10
  5. Step 5: Solve for x
    x = 55,680,641.10/7,736.70
  6. Step 6: Final answer
    x = 7,196.95

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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.