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Finding the Fourth Proportional to 7,100.66, 9,799.35 and 3,913.95

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Solution

The fourth proportional to 7,100.66, 9,799.35 and 3,913.95 is: 5,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.66 : 9,799.35 = 3,913.95 : x
  2. Step 2: Convert to fraction form
    7,100.66/9,799.35 = 3,913.95/x
  3. Step 3: Cross multiply
    7,100.66x = 9,799.35 × 3,913.95
  4. Step 4: Simplify right side
    7,100.66x = 38,354,165.93
  5. Step 5: Solve for x
    x = 38,354,165.93/7,100.66
  6. Step 6: Final answer
    x = 5,401.50

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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.