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Finding the Fourth Proportional to 10,124.64, 15,110.19 and 9,862.20

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Solution

The fourth proportional to 10,124.64, 15,110.19 and 9,862.20 is: 14,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.64 : 15,110.19 = 9,862.20 : x
  2. Step 2: Convert to fraction form
    10,124.64/15,110.19 = 9,862.20/x
  3. Step 3: Cross multiply
    10,124.64x = 15,110.19 × 9,862.20
  4. Step 4: Simplify right side
    10,124.64x = 149,019,715.82
  5. Step 5: Solve for x
    x = 149,019,715.82/10,124.64
  6. Step 6: Final answer
    x = 14,718.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.