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Finding the Fourth Proportional to 8,581.64, 12,875.22 and 3,655.49

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Solution

The fourth proportional to 8,581.64, 12,875.22 and 3,655.49 is: 5,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.64 : 12,875.22 = 3,655.49 : x
  2. Step 2: Convert to fraction form
    8,581.64/12,875.22 = 3,655.49/x
  3. Step 3: Cross multiply
    8,581.64x = 12,875.22 × 3,655.49
  4. Step 4: Simplify right side
    8,581.64x = 47,065,173.58
  5. Step 5: Solve for x
    x = 47,065,173.58/8,581.64
  6. Step 6: Final answer
    x = 5,484.41

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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.