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Finding the Fourth Proportional to 3,157.32, 4,744.62 and 1,928.28

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Solution

The fourth proportional to 3,157.32, 4,744.62 and 1,928.28 is: 2,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.32 : 4,744.62 = 1,928.28 : x
  2. Step 2: Convert to fraction form
    3,157.32/4,744.62 = 1,928.28/x
  3. Step 3: Cross multiply
    3,157.32x = 4,744.62 × 1,928.28
  4. Step 4: Simplify right side
    3,157.32x = 9,148,955.85
  5. Step 5: Solve for x
    x = 9,148,955.85/3,157.32
  6. Step 6: Final answer
    x = 2,897.70

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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.