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Finding the Fourth Proportional to 8,688, 13,023.12 and 3,760.80

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Solution

The fourth proportional to 8,688, 13,023.12 and 3,760.80 is: 5,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688 : 13,023.12 = 3,760.80 : x
  2. Step 2: Convert to fraction form
    8,688/13,023.12 = 3,760.80/x
  3. Step 3: Cross multiply
    8,688x = 13,023.12 × 3,760.80
  4. Step 4: Simplify right side
    8,688x = 48,977,349.70
  5. Step 5: Solve for x
    x = 48,977,349.70/8,688
  6. Step 6: Final answer
    x = 5,637.36

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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.