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Finding the Fourth Proportional to 5,152.76, 7,728.73 and 1,454.90

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Solution

The fourth proportional to 5,152.76, 7,728.73 and 1,454.90 is: 2,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.76 : 7,728.73 = 1,454.90 : x
  2. Step 2: Convert to fraction form
    5,152.76/7,728.73 = 1,454.90/x
  3. Step 3: Cross multiply
    5,152.76x = 7,728.73 × 1,454.90
  4. Step 4: Simplify right side
    5,152.76x = 11,244,544.96
  5. Step 5: Solve for x
    x = 11,244,544.96/5,152.76
  6. Step 6: Final answer
    x = 2,182.24

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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.