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Finding the Fourth Proportional to 2,902.80, 4,006.53 and 1,724.55

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Solution

The fourth proportional to 2,902.80, 4,006.53 and 1,724.55 is: 2,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.80 : 4,006.53 = 1,724.55 : x
  2. Step 2: Convert to fraction form
    2,902.80/4,006.53 = 1,724.55/x
  3. Step 3: Cross multiply
    2,902.80x = 4,006.53 × 1,724.55
  4. Step 4: Simplify right side
    2,902.80x = 6,909,461.31
  5. Step 5: Solve for x
    x = 6,909,461.31/2,902.80
  6. Step 6: Final answer
    x = 2,380.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.