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Finding the Fourth Proportional to 8,509.64, 12,747.18 and 4,397

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Solution

The fourth proportional to 8,509.64, 12,747.18 and 4,397 is: 6,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.64 : 12,747.18 = 4,397 : x
  2. Step 2: Convert to fraction form
    8,509.64/12,747.18 = 4,397/x
  3. Step 3: Cross multiply
    8,509.64x = 12,747.18 × 4,397
  4. Step 4: Simplify right side
    8,509.64x = 56,049,350.46
  5. Step 5: Solve for x
    x = 56,049,350.46/8,509.64
  6. Step 6: Final answer
    x = 6,586.57

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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.