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Finding the Fourth Proportional to 38,663, 57,994.50 and 9,479

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Solution

The fourth proportional to 38,663, 57,994.50 and 9,479 is: 14,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663 : 57,994.50 = 9,479 : x
  2. Step 2: Convert to fraction form
    38,663/57,994.50 = 9,479/x
  3. Step 3: Cross multiply
    38,663x = 57,994.50 × 9,479
  4. Step 4: Simplify right side
    38,663x = 549,729,865.50
  5. Step 5: Solve for x
    x = 549,729,865.50/38,663
  6. Step 6: Final answer
    x = 14,218.50

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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.