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Finding the Fourth Proportional to 3,157.24, 4,357.88 and 1,978.24

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Solution

The fourth proportional to 3,157.24, 4,357.88 and 1,978.24 is: 2,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.24 : 4,357.88 = 1,978.24 : x
  2. Step 2: Convert to fraction form
    3,157.24/4,357.88 = 1,978.24/x
  3. Step 3: Cross multiply
    3,157.24x = 4,357.88 × 1,978.24
  4. Step 4: Simplify right side
    3,157.24x = 8,620,932.53
  5. Step 5: Solve for x
    x = 8,620,932.53/3,157.24
  6. Step 6: Final answer
    x = 2,730.53

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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.