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Finding the Fourth Proportional to 10,786, 16,178.98 and 6,165.76

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Solution

The fourth proportional to 10,786, 16,178.98 and 6,165.76 is: 9,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 16,178.98 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    10,786/16,178.98 = 6,165.76/x
  3. Step 3: Cross multiply
    10,786x = 16,178.98 × 6,165.76
  4. Step 4: Simplify right side
    10,786x = 99,755,707.72
  5. Step 5: Solve for x
    x = 99,755,707.72/10,786
  6. Step 6: Final answer
    x = 9,248.63

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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.