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Finding the Fourth Proportional to 31,143.24, 42,978.86 and 17,715.74

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Solution

The fourth proportional to 31,143.24, 42,978.86 and 17,715.74 is: 24,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.24 : 42,978.86 = 17,715.74 : x
  2. Step 2: Convert to fraction form
    31,143.24/42,978.86 = 17,715.74/x
  3. Step 3: Cross multiply
    31,143.24x = 42,978.86 × 17,715.74
  4. Step 4: Simplify right side
    31,143.24x = 761,402,309.26
  5. Step 5: Solve for x
    x = 761,402,309.26/31,143.24
  6. Step 6: Final answer
    x = 24,448.40

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Why These Related Problems?

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