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Finding the Fourth Proportional to 8,534.72, 12,807.84 and 2,988.11

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Solution

The fourth proportional to 8,534.72, 12,807.84 and 2,988.11 is: 4,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.72 : 12,807.84 = 2,988.11 : x
  2. Step 2: Convert to fraction form
    8,534.72/12,807.84 = 2,988.11/x
  3. Step 3: Cross multiply
    8,534.72x = 12,807.84 × 2,988.11
  4. Step 4: Simplify right side
    8,534.72x = 38,271,234.78
  5. Step 5: Solve for x
    x = 38,271,234.78/8,534.72
  6. Step 6: Final answer
    x = 4,484.18

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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.