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Finding the Fourth Proportional to 8,491.42, 12,739.56 and 4,328.02

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Solution

The fourth proportional to 8,491.42, 12,739.56 and 4,328.02 is: 6,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.42 : 12,739.56 = 4,328.02 : x
  2. Step 2: Convert to fraction form
    8,491.42/12,739.56 = 4,328.02/x
  3. Step 3: Cross multiply
    8,491.42x = 12,739.56 × 4,328.02
  4. Step 4: Simplify right side
    8,491.42x = 55,137,070.47
  5. Step 5: Solve for x
    x = 55,137,070.47/8,491.42
  6. Step 6: Final answer
    x = 6,493.27

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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.