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Finding the Fourth Proportional to 7,820.03, 11,729.43 and 3,658.95

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Solution

The fourth proportional to 7,820.03, 11,729.43 and 3,658.95 is: 5,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.03 : 11,729.43 = 3,658.95 : x
  2. Step 2: Convert to fraction form
    7,820.03/11,729.43 = 3,658.95/x
  3. Step 3: Cross multiply
    7,820.03x = 11,729.43 × 3,658.95
  4. Step 4: Simplify right side
    7,820.03x = 42,917,397.90
  5. Step 5: Solve for x
    x = 42,917,397.90/7,820.03
  6. Step 6: Final answer
    x = 5,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.