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Finding the Fourth Proportional to 7,761.76, 11,562.56 and 7,283.68

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Solution

The fourth proportional to 7,761.76, 11,562.56 and 7,283.68 is: 10,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.76 : 11,562.56 = 7,283.68 : x
  2. Step 2: Convert to fraction form
    7,761.76/11,562.56 = 7,283.68/x
  3. Step 3: Cross multiply
    7,761.76x = 11,562.56 × 7,283.68
  4. Step 4: Simplify right side
    7,761.76x = 84,217,987.02
  5. Step 5: Solve for x
    x = 84,217,987.02/7,761.76
  6. Step 6: Final answer
    x = 10,850.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.