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Finding the Fourth Proportional to 31,340.72, 46,978.11 and 10,275.30

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Solution

The fourth proportional to 31,340.72, 46,978.11 and 10,275.30 is: 15,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.72 : 46,978.11 = 10,275.30 : x
  2. Step 2: Convert to fraction form
    31,340.72/46,978.11 = 10,275.30/x
  3. Step 3: Cross multiply
    31,340.72x = 46,978.11 × 10,275.30
  4. Step 4: Simplify right side
    31,340.72x = 482,714,173.68
  5. Step 5: Solve for x
    x = 482,714,173.68/31,340.72
  6. Step 6: Final answer
    x = 15,402.14

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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.