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Finding the Fourth Proportional to 3,480.65, 5,221.28 and 1,400.57

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Solution

The fourth proportional to 3,480.65, 5,221.28 and 1,400.57 is: 2,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.65 : 5,221.28 = 1,400.57 : x
  2. Step 2: Convert to fraction form
    3,480.65/5,221.28 = 1,400.57/x
  3. Step 3: Cross multiply
    3,480.65x = 5,221.28 × 1,400.57
  4. Step 4: Simplify right side
    3,480.65x = 7,312,768.13
  5. Step 5: Solve for x
    x = 7,312,768.13/3,480.65
  6. Step 6: Final answer
    x = 2,100.98

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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.