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Finding the Fourth Proportional to 31,980.71, 47,971.26 and 9,792.38

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Solution

The fourth proportional to 31,980.71, 47,971.26 and 9,792.38 is: 14,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.71 : 47,971.26 = 9,792.38 : x
  2. Step 2: Convert to fraction form
    31,980.71/47,971.26 = 9,792.38/x
  3. Step 3: Cross multiply
    31,980.71x = 47,971.26 × 9,792.38
  4. Step 4: Simplify right side
    31,980.71x = 469,752,567.14
  5. Step 5: Solve for x
    x = 469,752,567.14/31,980.71
  6. Step 6: Final answer
    x = 14,688.62

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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.