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Finding the Fourth Proportional to 3,487.70, 5,206.78 and 3,341.90

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Solution

The fourth proportional to 3,487.70, 5,206.78 and 3,341.90 is: 4,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.70 : 5,206.78 = 3,341.90 : x
  2. Step 2: Convert to fraction form
    3,487.70/5,206.78 = 3,341.90/x
  3. Step 3: Cross multiply
    3,487.70x = 5,206.78 × 3,341.90
  4. Step 4: Simplify right side
    3,487.70x = 17,400,538.08
  5. Step 5: Solve for x
    x = 17,400,538.08/3,487.70
  6. Step 6: Final answer
    x = 4,989.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.