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Finding the Fourth Proportional to 5,152.46, 7,728.57 and 1,256.85

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Solution

The fourth proportional to 5,152.46, 7,728.57 and 1,256.85 is: 1,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.46 : 7,728.57 = 1,256.85 : x
  2. Step 2: Convert to fraction form
    5,152.46/7,728.57 = 1,256.85/x
  3. Step 3: Cross multiply
    5,152.46x = 7,728.57 × 1,256.85
  4. Step 4: Simplify right side
    5,152.46x = 9,713,653.20
  5. Step 5: Solve for x
    x = 9,713,653.20/5,152.46
  6. Step 6: Final answer
    x = 1,885.25

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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.