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Finding the Fourth Proportional to 5,149.93, 7,724.90 and 1,254.33

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Solution

The fourth proportional to 5,149.93, 7,724.90 and 1,254.33 is: 1,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.93 : 7,724.90 = 1,254.33 : x
  2. Step 2: Convert to fraction form
    5,149.93/7,724.90 = 1,254.33/x
  3. Step 3: Cross multiply
    5,149.93x = 7,724.90 × 1,254.33
  4. Step 4: Simplify right side
    5,149.93x = 9,689,573.82
  5. Step 5: Solve for x
    x = 9,689,573.82/5,149.93
  6. Step 6: Final answer
    x = 1,881.50

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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.