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Finding the Fourth Proportional to 10,475.30, 15,718.07 and 4,929.20

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Solution

The fourth proportional to 10,475.30, 15,718.07 and 4,929.20 is: 7,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.30 : 15,718.07 = 4,929.20 : x
  2. Step 2: Convert to fraction form
    10,475.30/15,718.07 = 4,929.20/x
  3. Step 3: Cross multiply
    10,475.30x = 15,718.07 × 4,929.20
  4. Step 4: Simplify right side
    10,475.30x = 77,477,510.64
  5. Step 5: Solve for x
    x = 77,477,510.64/10,475.30
  6. Step 6: Final answer
    x = 7,396.21

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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.