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Finding the Fourth Proportional to 6,666.87, 9,985.73 and 4,061.91

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Solution

The fourth proportional to 6,666.87, 9,985.73 and 4,061.91 is: 6,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.87 : 9,985.73 = 4,061.91 : x
  2. Step 2: Convert to fraction form
    6,666.87/9,985.73 = 4,061.91/x
  3. Step 3: Cross multiply
    6,666.87x = 9,985.73 × 4,061.91
  4. Step 4: Simplify right side
    6,666.87x = 40,561,116.23
  5. Step 5: Solve for x
    x = 40,561,116.23/6,666.87
  6. Step 6: Final answer
    x = 6,083.98

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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.