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Finding the Fourth Proportional to 7,053.76, 9,662.40 and 6,976

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Solution

The fourth proportional to 7,053.76, 9,662.40 and 6,976 is: 9,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.76 : 9,662.40 = 6,976 : x
  2. Step 2: Convert to fraction form
    7,053.76/9,662.40 = 6,976/x
  3. Step 3: Cross multiply
    7,053.76x = 9,662.40 × 6,976
  4. Step 4: Simplify right side
    7,053.76x = 67,404,902.40
  5. Step 5: Solve for x
    x = 67,404,902.40/7,053.76
  6. Step 6: Final answer
    x = 9,555.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.