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Finding the Fourth Proportional to 31,341.28, 46,978.89 and 10,275.82

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Solution

The fourth proportional to 31,341.28, 46,978.89 and 10,275.82 is: 15,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.28 : 46,978.89 = 10,275.82 : x
  2. Step 2: Convert to fraction form
    31,341.28/46,978.89 = 10,275.82/x
  3. Step 3: Cross multiply
    31,341.28x = 46,978.89 × 10,275.82
  4. Step 4: Simplify right side
    31,341.28x = 482,746,566.06
  5. Step 5: Solve for x
    x = 482,746,566.06/31,341.28
  6. Step 6: Final answer
    x = 15,402.90

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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.