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Finding the Fourth Proportional to 38,584, 57,875.86 and 12,290.86

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Solution

The fourth proportional to 38,584, 57,875.86 and 12,290.86 is: 18,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584 : 57,875.86 = 12,290.86 : x
  2. Step 2: Convert to fraction form
    38,584/57,875.86 = 12,290.86/x
  3. Step 3: Cross multiply
    38,584x = 57,875.86 × 12,290.86
  4. Step 4: Simplify right side
    38,584x = 711,344,092.64
  5. Step 5: Solve for x
    x = 711,344,092.64/38,584
  6. Step 6: Final answer
    x = 18,436.25

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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.