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Finding the Fourth Proportional to 5,152.78, 7,728.76 and 1,454.86

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Solution

The fourth proportional to 5,152.78, 7,728.76 and 1,454.86 is: 2,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.78 : 7,728.76 = 1,454.86 : x
  2. Step 2: Convert to fraction form
    5,152.78/7,728.76 = 1,454.86/x
  3. Step 3: Cross multiply
    5,152.78x = 7,728.76 × 1,454.86
  4. Step 4: Simplify right side
    5,152.78x = 11,244,263.77
  5. Step 5: Solve for x
    x = 11,244,263.77/5,152.78
  6. Step 6: Final answer
    x = 2,182.17

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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.