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Finding the Fourth Proportional to 5,191.68, 7,787.76 and 1,296.12

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Solution

The fourth proportional to 5,191.68, 7,787.76 and 1,296.12 is: 1,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.68 : 7,787.76 = 1,296.12 : x
  2. Step 2: Convert to fraction form
    5,191.68/7,787.76 = 1,296.12/x
  3. Step 3: Cross multiply
    5,191.68x = 7,787.76 × 1,296.12
  4. Step 4: Simplify right side
    5,191.68x = 10,093,871.49
  5. Step 5: Solve for x
    x = 10,093,871.49/5,191.68
  6. Step 6: Final answer
    x = 1,944.24

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Double scale
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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.