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Finding the Fourth Proportional to 10,398.80, 15,580.92 and 7,314.32

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Solution

The fourth proportional to 10,398.80, 15,580.92 and 7,314.32 is: 10,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.80 : 15,580.92 = 7,314.32 : x
  2. Step 2: Convert to fraction form
    10,398.80/15,580.92 = 7,314.32/x
  3. Step 3: Cross multiply
    10,398.80x = 15,580.92 × 7,314.32
  4. Step 4: Simplify right side
    10,398.80x = 113,963,834.77
  5. Step 5: Solve for x
    x = 113,963,834.77/10,398.80
  6. Step 6: Final answer
    x = 10,959.33

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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.