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Finding the Fourth Proportional to 10,581.40, 15,908.10 and 8,647.64

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Solution

The fourth proportional to 10,581.40, 15,908.10 and 8,647.64 is: 13,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.40 : 15,908.10 = 8,647.64 : x
  2. Step 2: Convert to fraction form
    10,581.40/15,908.10 = 8,647.64/x
  3. Step 3: Cross multiply
    10,581.40x = 15,908.10 × 8,647.64
  4. Step 4: Simplify right side
    10,581.40x = 137,567,521.88
  5. Step 5: Solve for x
    x = 137,567,521.88/10,581.40
  6. Step 6: Final answer
    x = 13,000.88

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1.5x scale

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.