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Finding the Fourth Proportional to 8,459.12, 12,688.64 and 5,642

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Solution

The fourth proportional to 8,459.12, 12,688.64 and 5,642 is: 8,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.12 : 12,688.64 = 5,642 : x
  2. Step 2: Convert to fraction form
    8,459.12/12,688.64 = 5,642/x
  3. Step 3: Cross multiply
    8,459.12x = 12,688.64 × 5,642
  4. Step 4: Simplify right side
    8,459.12x = 71,589,306.88
  5. Step 5: Solve for x
    x = 71,589,306.88/8,459.12
  6. Step 6: Final answer
    x = 8,462.97

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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.