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Finding the Fourth Proportional to 3,480.90, 5,222.16 and 1,140.90

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Solution

The fourth proportional to 3,480.90, 5,222.16 and 1,140.90 is: 1,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.90 : 5,222.16 = 1,140.90 : x
  2. Step 2: Convert to fraction form
    3,480.90/5,222.16 = 1,140.90/x
  3. Step 3: Cross multiply
    3,480.90x = 5,222.16 × 1,140.90
  4. Step 4: Simplify right side
    3,480.90x = 5,957,962.34
  5. Step 5: Solve for x
    x = 5,957,962.34/3,480.90
  6. Step 6: Final answer
    x = 1,711.62

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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.