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Finding the Fourth Proportional to 10,772.80, 16,152 and 8,695.36

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Solution

The fourth proportional to 10,772.80, 16,152 and 8,695.36 is: 13,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.80 : 16,152 = 8,695.36 : x
  2. Step 2: Convert to fraction form
    10,772.80/16,152 = 8,695.36/x
  3. Step 3: Cross multiply
    10,772.80x = 16,152 × 8,695.36
  4. Step 4: Simplify right side
    10,772.80x = 140,447,454.72
  5. Step 5: Solve for x
    x = 140,447,454.72/10,772.80
  6. Step 6: Final answer
    x = 13,037.23

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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.