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Finding the Fourth Proportional to 5,641.28, 7,784.28 and 3,123.20

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Solution

The fourth proportional to 5,641.28, 7,784.28 and 3,123.20 is: 4,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.28 : 7,784.28 = 3,123.20 : x
  2. Step 2: Convert to fraction form
    5,641.28/7,784.28 = 3,123.20/x
  3. Step 3: Cross multiply
    5,641.28x = 7,784.28 × 3,123.20
  4. Step 4: Simplify right side
    5,641.28x = 24,311,863.30
  5. Step 5: Solve for x
    x = 24,311,863.30/5,641.28
  6. Step 6: Final answer
    x = 4,309.64

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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.