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Finding the Fourth Proportional to 7,765.52, 10,715.46 and 5,666

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Solution

The fourth proportional to 7,765.52, 10,715.46 and 5,666 is: 7,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.52 : 10,715.46 = 5,666 : x
  2. Step 2: Convert to fraction form
    7,765.52/10,715.46 = 5,666/x
  3. Step 3: Cross multiply
    7,765.52x = 10,715.46 × 5,666
  4. Step 4: Simplify right side
    7,765.52x = 60,713,796.36
  5. Step 5: Solve for x
    x = 60,713,796.36/7,765.52
  6. Step 6: Final answer
    x = 7,818.38

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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.