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Finding the Fourth Proportional to 12,439.16, 18,652.88 and 5,038

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Solution

The fourth proportional to 12,439.16, 18,652.88 and 5,038 is: 7,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439.16 : 18,652.88 = 5,038 : x
  2. Step 2: Convert to fraction form
    12,439.16/18,652.88 = 5,038/x
  3. Step 3: Cross multiply
    12,439.16x = 18,652.88 × 5,038
  4. Step 4: Simplify right side
    12,439.16x = 93,973,209.44
  5. Step 5: Solve for x
    x = 93,973,209.44/12,439.16
  6. Step 6: Final answer
    x = 7,554.63

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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.