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Finding the Fourth Proportional to 12,369.76, 18,542.96 and 4,156

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Solution

The fourth proportional to 12,369.76, 18,542.96 and 4,156 is: 6,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.76 : 18,542.96 = 4,156 : x
  2. Step 2: Convert to fraction form
    12,369.76/18,542.96 = 4,156/x
  3. Step 3: Cross multiply
    12,369.76x = 18,542.96 × 4,156
  4. Step 4: Simplify right side
    12,369.76x = 77,064,541.76
  5. Step 5: Solve for x
    x = 77,064,541.76/12,369.76
  6. Step 6: Final answer
    x = 6,230.08

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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.