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Finding the Fourth Proportional to 8,964.72, 13,410.90 and 8,031.06

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Solution

The fourth proportional to 8,964.72, 13,410.90 and 8,031.06 is: 12,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.72 : 13,410.90 = 8,031.06 : x
  2. Step 2: Convert to fraction form
    8,964.72/13,410.90 = 8,031.06/x
  3. Step 3: Cross multiply
    8,964.72x = 13,410.90 × 8,031.06
  4. Step 4: Simplify right side
    8,964.72x = 107,703,742.55
  5. Step 5: Solve for x
    x = 107,703,742.55/8,964.72
  6. Step 6: Final answer
    x = 12,014.18

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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.