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Finding the Fourth Proportional to 11,280, 15,566.40 and 6,864

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Solution

The fourth proportional to 11,280, 15,566.40 and 6,864 is: 9,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 15,566.40 = 6,864 : x
  2. Step 2: Convert to fraction form
    11,280/15,566.40 = 6,864/x
  3. Step 3: Cross multiply
    11,280x = 15,566.40 × 6,864
  4. Step 4: Simplify right side
    11,280x = 106,847,769.60
  5. Step 5: Solve for x
    x = 106,847,769.60/11,280
  6. Step 6: Final answer
    x = 9,472.32

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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.