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Finding the Fourth Proportional to 10,871.64, 15,000.48 and 8,185.68

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Solution

The fourth proportional to 10,871.64, 15,000.48 and 8,185.68 is: 11,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.64 : 15,000.48 = 8,185.68 : x
  2. Step 2: Convert to fraction form
    10,871.64/15,000.48 = 8,185.68/x
  3. Step 3: Cross multiply
    10,871.64x = 15,000.48 × 8,185.68
  4. Step 4: Simplify right side
    10,871.64x = 122,789,129.13
  5. Step 5: Solve for x
    x = 122,789,129.13/10,871.64
  6. Step 6: Final answer
    x = 11,294.44

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1.5x scale

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.