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Finding the Fourth Proportional to 2,903.88, 4,007.24 and 1,577.55

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Solution

The fourth proportional to 2,903.88, 4,007.24 and 1,577.55 is: 2,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.88 : 4,007.24 = 1,577.55 : x
  2. Step 2: Convert to fraction form
    2,903.88/4,007.24 = 1,577.55/x
  3. Step 3: Cross multiply
    2,903.88x = 4,007.24 × 1,577.55
  4. Step 4: Simplify right side
    2,903.88x = 6,321,613.57
  5. Step 5: Solve for x
    x = 6,321,613.57/2,903.88
  6. Step 6: Final answer
    x = 2,176.95

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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.