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Finding the Fourth Proportional to 38,956.78, 58,421.94 and 12,655

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Solution

The fourth proportional to 38,956.78, 58,421.94 and 12,655 is: 18,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,956.78 : 58,421.94 = 12,655 : x
  2. Step 2: Convert to fraction form
    38,956.78/58,421.94 = 12,655/x
  3. Step 3: Cross multiply
    38,956.78x = 58,421.94 × 12,655
  4. Step 4: Simplify right side
    38,956.78x = 739,329,650.70
  5. Step 5: Solve for x
    x = 739,329,650.70/38,956.78
  6. Step 6: Final answer
    x = 18,978.20

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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.