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Finding the Fourth Proportional to 10,478.74, 15,718.15 and 9,953.18

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Solution

The fourth proportional to 10,478.74, 15,718.15 and 9,953.18 is: 14,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.74 : 15,718.15 = 9,953.18 : x
  2. Step 2: Convert to fraction form
    10,478.74/15,718.15 = 9,953.18/x
  3. Step 3: Cross multiply
    10,478.74x = 15,718.15 × 9,953.18
  4. Step 4: Simplify right side
    10,478.74x = 156,445,569.01
  5. Step 5: Solve for x
    x = 156,445,569.01/10,478.74
  6. Step 6: Final answer
    x = 14,929.80

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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.