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Finding the Fourth Proportional to 10,876.80, 14,988.48 and 7,724.16

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Solution

The fourth proportional to 10,876.80, 14,988.48 and 7,724.16 is: 10,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.80 : 14,988.48 = 7,724.16 : x
  2. Step 2: Convert to fraction form
    10,876.80/14,988.48 = 7,724.16/x
  3. Step 3: Cross multiply
    10,876.80x = 14,988.48 × 7,724.16
  4. Step 4: Simplify right side
    10,876.80x = 115,773,417.68
  5. Step 5: Solve for x
    x = 115,773,417.68/10,876.80
  6. Step 6: Final answer
    x = 10,644.07

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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.