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Finding the Fourth Proportional to 10,859.32, 14,984.04 and 6,142.60

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Solution

The fourth proportional to 10,859.32, 14,984.04 and 6,142.60 is: 8,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.32 : 14,984.04 = 6,142.60 : x
  2. Step 2: Convert to fraction form
    10,859.32/14,984.04 = 6,142.60/x
  3. Step 3: Cross multiply
    10,859.32x = 14,984.04 × 6,142.60
  4. Step 4: Simplify right side
    10,859.32x = 92,040,964.10
  5. Step 5: Solve for x
    x = 92,040,964.10/10,859.32
  6. Step 6: Final answer
    x = 8,475.76

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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.