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Finding the Fourth Proportional to 7,083.64, 9,775.28 and 3,897

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Solution

The fourth proportional to 7,083.64, 9,775.28 and 3,897 is: 5,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.64 : 9,775.28 = 3,897 : x
  2. Step 2: Convert to fraction form
    7,083.64/9,775.28 = 3,897/x
  3. Step 3: Cross multiply
    7,083.64x = 9,775.28 × 3,897
  4. Step 4: Simplify right side
    7,083.64x = 38,094,266.16
  5. Step 5: Solve for x
    x = 38,094,266.16/7,083.64
  6. Step 6: Final answer
    x = 5,377.78

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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.