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Finding the Fourth Proportional to 5,152.39, 7,728.59 and 1,256.77

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Solution

The fourth proportional to 5,152.39, 7,728.59 and 1,256.77 is: 1,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.39 : 7,728.59 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    5,152.39/7,728.59 = 1,256.77/x
  3. Step 3: Cross multiply
    5,152.39x = 7,728.59 × 1,256.77
  4. Step 4: Simplify right side
    5,152.39x = 9,713,060.05
  5. Step 5: Solve for x
    x = 9,713,060.05/5,152.39
  6. Step 6: Final answer
    x = 1,885.16

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Half scale
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Similar ratio
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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.