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Finding the Fourth Proportional to 4,954.53, 7,431.78 and 1,256.75

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Solution

The fourth proportional to 4,954.53, 7,431.78 and 1,256.75 is: 1,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.53 : 7,431.78 = 1,256.75 : x
  2. Step 2: Convert to fraction form
    4,954.53/7,431.78 = 1,256.75/x
  3. Step 3: Cross multiply
    4,954.53x = 7,431.78 × 1,256.75
  4. Step 4: Simplify right side
    4,954.53x = 9,339,889.52
  5. Step 5: Solve for x
    x = 9,339,889.52/4,954.53
  6. Step 6: Final answer
    x = 1,885.12

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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.