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Finding the Fourth Proportional to 10,561, 15,840.87 and 3,986.32

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Solution

The fourth proportional to 10,561, 15,840.87 and 3,986.32 is: 5,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 15,840.87 = 3,986.32 : x
  2. Step 2: Convert to fraction form
    10,561/15,840.87 = 3,986.32/x
  3. Step 3: Cross multiply
    10,561x = 15,840.87 × 3,986.32
  4. Step 4: Simplify right side
    10,561x = 63,146,776.90
  5. Step 5: Solve for x
    x = 63,146,776.90/10,561
  6. Step 6: Final answer
    x = 5,979.24

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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.