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Finding the Fourth Proportional to 8,160, 11,280 and 7,431.36

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Solution

The fourth proportional to 8,160, 11,280 and 7,431.36 is: 10,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 11,280 = 7,431.36 : x
  2. Step 2: Convert to fraction form
    8,160/11,280 = 7,431.36/x
  3. Step 3: Cross multiply
    8,160x = 11,280 × 7,431.36
  4. Step 4: Simplify right side
    8,160x = 83,825,740.80
  5. Step 5: Solve for x
    x = 83,825,740.80/8,160
  6. Step 6: Final answer
    x = 10,272.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.