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Finding the Fourth Proportional to 21,951, 32,948.64 and 12,098.70

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Solution

The fourth proportional to 21,951, 32,948.64 and 12,098.70 is: 18,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951 : 32,948.64 = 12,098.70 : x
  2. Step 2: Convert to fraction form
    21,951/32,948.64 = 12,098.70/x
  3. Step 3: Cross multiply
    21,951x = 32,948.64 × 12,098.70
  4. Step 4: Simplify right side
    21,951x = 398,635,710.77
  5. Step 5: Solve for x
    x = 398,635,710.77/21,951
  6. Step 6: Final answer
    x = 18,160.25

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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.