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Finding the Fourth Proportional to 5,149.76, 7,725.71 and 2,071.76

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Solution

The fourth proportional to 5,149.76, 7,725.71 and 2,071.76 is: 3,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.76 : 7,725.71 = 2,071.76 : x
  2. Step 2: Convert to fraction form
    5,149.76/7,725.71 = 2,071.76/x
  3. Step 3: Cross multiply
    5,149.76x = 7,725.71 × 2,071.76
  4. Step 4: Simplify right side
    5,149.76x = 16,005,816.95
  5. Step 5: Solve for x
    x = 16,005,816.95/5,149.76
  6. Step 6: Final answer
    x = 3,108.07

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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.