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Finding the Fourth Proportional to 8,600, 12,875.52 and 5,669.36

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Solution

The fourth proportional to 8,600, 12,875.52 and 5,669.36 is: 8,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600 : 12,875.52 = 5,669.36 : x
  2. Step 2: Convert to fraction form
    8,600/12,875.52 = 5,669.36/x
  3. Step 3: Cross multiply
    8,600x = 12,875.52 × 5,669.36
  4. Step 4: Simplify right side
    8,600x = 72,995,958.07
  5. Step 5: Solve for x
    x = 72,995,958.07/8,600
  6. Step 6: Final answer
    x = 8,487.90

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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.