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Finding the Fourth Proportional to 10,179, 15,270.69 and 3,158.87

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Solution

The fourth proportional to 10,179, 15,270.69 and 3,158.87 is: 4,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179 : 15,270.69 = 3,158.87 : x
  2. Step 2: Convert to fraction form
    10,179/15,270.69 = 3,158.87/x
  3. Step 3: Cross multiply
    10,179x = 15,270.69 × 3,158.87
  4. Step 4: Simplify right side
    10,179x = 48,238,048.17
  5. Step 5: Solve for x
    x = 48,238,048.17/10,179
  6. Step 6: Final answer
    x = 4,738.98

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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.