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Finding the Fourth Proportional to 3,487.61, 5,230.04 and 1,407.21

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Solution

The fourth proportional to 3,487.61, 5,230.04 and 1,407.21 is: 2,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.61 : 5,230.04 = 1,407.21 : x
  2. Step 2: Convert to fraction form
    3,487.61/5,230.04 = 1,407.21/x
  3. Step 3: Cross multiply
    3,487.61x = 5,230.04 × 1,407.21
  4. Step 4: Simplify right side
    3,487.61x = 7,359,757.55
  5. Step 5: Solve for x
    x = 7,359,757.55/3,487.61
  6. Step 6: Final answer
    x = 2,110.26

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1.5x scale

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.