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Finding the Fourth Proportional to 31,539, 47,308.50 and 17,689.08

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Solution

The fourth proportional to 31,539, 47,308.50 and 17,689.08 is: 26,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539 : 47,308.50 = 17,689.08 : x
  2. Step 2: Convert to fraction form
    31,539/47,308.50 = 17,689.08/x
  3. Step 3: Cross multiply
    31,539x = 47,308.50 × 17,689.08
  4. Step 4: Simplify right side
    31,539x = 836,843,841.18
  5. Step 5: Solve for x
    x = 836,843,841.18/31,539
  6. Step 6: Final answer
    x = 26,533.62

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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.