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Finding the Fourth Proportional to 5,441.78, 8,157.89 and 1,931.24

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Solution

The fourth proportional to 5,441.78, 8,157.89 and 1,931.24 is: 2,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.78 : 8,157.89 = 1,931.24 : x
  2. Step 2: Convert to fraction form
    5,441.78/8,157.89 = 1,931.24/x
  3. Step 3: Cross multiply
    5,441.78x = 8,157.89 × 1,931.24
  4. Step 4: Simplify right side
    5,441.78x = 15,754,793.04
  5. Step 5: Solve for x
    x = 15,754,793.04/5,441.78
  6. Step 6: Final answer
    x = 2,895.16

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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.