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Finding the Fourth Proportional to 7,115.98, 9,820.05 and 3,929.28

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Solution

The fourth proportional to 7,115.98, 9,820.05 and 3,929.28 is: 5,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.98 : 9,820.05 = 3,929.28 : x
  2. Step 2: Convert to fraction form
    7,115.98/9,820.05 = 3,929.28/x
  3. Step 3: Cross multiply
    7,115.98x = 9,820.05 × 3,929.28
  4. Step 4: Simplify right side
    7,115.98x = 38,585,726.06
  5. Step 5: Solve for x
    x = 38,585,726.06/7,115.98
  6. Step 6: Final answer
    x = 5,422.41

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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.