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Finding the Fourth Proportional to 8,457.52, 12,649.02 and 7,682.44

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Solution

The fourth proportional to 8,457.52, 12,649.02 and 7,682.44 is: 11,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.52 : 12,649.02 = 7,682.44 : x
  2. Step 2: Convert to fraction form
    8,457.52/12,649.02 = 7,682.44/x
  3. Step 3: Cross multiply
    8,457.52x = 12,649.02 × 7,682.44
  4. Step 4: Simplify right side
    8,457.52x = 97,175,337.21
  5. Step 5: Solve for x
    x = 97,175,337.21/8,457.52
  6. Step 6: Final answer
    x = 11,489.81

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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.