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Finding the Fourth Proportional to 31,143.69, 42,966.05 and 19,810.17

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Solution

The fourth proportional to 31,143.69, 42,966.05 and 19,810.17 is: 27,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.69 : 42,966.05 = 19,810.17 : x
  2. Step 2: Convert to fraction form
    31,143.69/42,966.05 = 19,810.17/x
  3. Step 3: Cross multiply
    31,143.69x = 42,966.05 × 19,810.17
  4. Step 4: Simplify right side
    31,143.69x = 851,164,655.68
  5. Step 5: Solve for x
    x = 851,164,655.68/31,143.69
  6. Step 6: Final answer
    x = 27,330.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.