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Finding the Fourth Proportional to 5,146.76, 7,720.14 and 1,251.16

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Solution

The fourth proportional to 5,146.76, 7,720.14 and 1,251.16 is: 1,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.76 : 7,720.14 = 1,251.16 : x
  2. Step 2: Convert to fraction form
    5,146.76/7,720.14 = 1,251.16/x
  3. Step 3: Cross multiply
    5,146.76x = 7,720.14 × 1,251.16
  4. Step 4: Simplify right side
    5,146.76x = 9,659,130.36
  5. Step 5: Solve for x
    x = 9,659,130.36/5,146.76
  6. Step 6: Final answer
    x = 1,876.74

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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.