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Finding the Fourth Proportional to 10,891.50, 15,032.10 and 6,178.50

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Solution

The fourth proportional to 10,891.50, 15,032.10 and 6,178.50 is: 8,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.50 : 15,032.10 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    10,891.50/15,032.10 = 6,178.50/x
  3. Step 3: Cross multiply
    10,891.50x = 15,032.10 × 6,178.50
  4. Step 4: Simplify right side
    10,891.50x = 92,875,829.85
  5. Step 5: Solve for x
    x = 92,875,829.85/10,891.50
  6. Step 6: Final answer
    x = 8,527.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.