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Finding the Fourth Proportional to 7,076, 9,765.48 and 4,092.68

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Solution

The fourth proportional to 7,076, 9,765.48 and 4,092.68 is: 5,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076 : 9,765.48 = 4,092.68 : x
  2. Step 2: Convert to fraction form
    7,076/9,765.48 = 4,092.68/x
  3. Step 3: Cross multiply
    7,076x = 9,765.48 × 4,092.68
  4. Step 4: Simplify right side
    7,076x = 39,966,984.69
  5. Step 5: Solve for x
    x = 39,966,984.69/7,076
  6. Step 6: Final answer
    x = 5,648.25

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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.