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Finding the Fourth Proportional to 38,295.88, 57,420.78 and 14,605

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Solution

The fourth proportional to 38,295.88, 57,420.78 and 14,605 is: 21,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.88 : 57,420.78 = 14,605 : x
  2. Step 2: Convert to fraction form
    38,295.88/57,420.78 = 14,605/x
  3. Step 3: Cross multiply
    38,295.88x = 57,420.78 × 14,605
  4. Step 4: Simplify right side
    38,295.88x = 838,630,491.90
  5. Step 5: Solve for x
    x = 838,630,491.90/38,295.88
  6. Step 6: Final answer
    x = 21,898.71

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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.