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Finding the Fourth Proportional to 2,800.74, 4,203.70 and 1,415.04

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Solution

The fourth proportional to 2,800.74, 4,203.70 and 1,415.04 is: 2,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.74 : 4,203.70 = 1,415.04 : x
  2. Step 2: Convert to fraction form
    2,800.74/4,203.70 = 1,415.04/x
  3. Step 3: Cross multiply
    2,800.74x = 4,203.70 × 1,415.04
  4. Step 4: Simplify right side
    2,800.74x = 5,948,413.90
  5. Step 5: Solve for x
    x = 5,948,413.90/2,800.74
  6. Step 6: Final answer
    x = 2,123.88

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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.