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Finding the Fourth Proportional to 20,952, 31,386.12 and 12,627.60

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Solution

The fourth proportional to 20,952, 31,386.12 and 12,627.60 is: 18,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 31,386.12 = 12,627.60 : x
  2. Step 2: Convert to fraction form
    20,952/31,386.12 = 12,627.60/x
  3. Step 3: Cross multiply
    20,952x = 31,386.12 × 12,627.60
  4. Step 4: Simplify right side
    20,952x = 396,331,368.91
  5. Step 5: Solve for x
    x = 396,331,368.91/20,952
  6. Step 6: Final answer
    x = 18,916.16

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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.