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Finding the Fourth Proportional to 5,152.60, 7,728.90 and 1,256.97

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Solution

The fourth proportional to 5,152.60, 7,728.90 and 1,256.97 is: 1,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.60 : 7,728.90 = 1,256.97 : x
  2. Step 2: Convert to fraction form
    5,152.60/7,728.90 = 1,256.97/x
  3. Step 3: Cross multiply
    5,152.60x = 7,728.90 × 1,256.97
  4. Step 4: Simplify right side
    5,152.60x = 9,714,989.15
  5. Step 5: Solve for x
    x = 9,714,989.15/5,152.60
  6. Step 6: Final answer
    x = 1,885.46

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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.