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Finding the Fourth Proportional to 6,771, 10,156.56 and 2,389.20

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Solution

The fourth proportional to 6,771, 10,156.56 and 2,389.20 is: 3,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771 : 10,156.56 = 2,389.20 : x
  2. Step 2: Convert to fraction form
    6,771/10,156.56 = 2,389.20/x
  3. Step 3: Cross multiply
    6,771x = 10,156.56 × 2,389.20
  4. Step 4: Simplify right side
    6,771x = 24,266,053.15
  5. Step 5: Solve for x
    x = 24,266,053.15/6,771
  6. Step 6: Final answer
    x = 3,583.82

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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.