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Finding the Fourth Proportional to 5,152.41, 7,728.62 and 1,256.82

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Solution

The fourth proportional to 5,152.41, 7,728.62 and 1,256.82 is: 1,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.41 : 7,728.62 = 1,256.82 : x
  2. Step 2: Convert to fraction form
    5,152.41/7,728.62 = 1,256.82/x
  3. Step 3: Cross multiply
    5,152.41x = 7,728.62 × 1,256.82
  4. Step 4: Simplify right side
    5,152.41x = 9,713,484.19
  5. Step 5: Solve for x
    x = 9,713,484.19/5,152.41
  6. Step 6: Final answer
    x = 1,885.23

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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.