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Finding the Fourth Proportional to 3,492.71, 5,242.20 and 3,121.93

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Solution

The fourth proportional to 3,492.71, 5,242.20 and 3,121.93 is: 4,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.71 : 5,242.20 = 3,121.93 : x
  2. Step 2: Convert to fraction form
    3,492.71/5,242.20 = 3,121.93/x
  3. Step 3: Cross multiply
    3,492.71x = 5,242.20 × 3,121.93
  4. Step 4: Simplify right side
    3,492.71x = 16,365,781.45
  5. Step 5: Solve for x
    x = 16,365,781.45/3,492.71
  6. Step 6: Final answer
    x = 4,685.70

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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.