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Finding the Fourth Proportional to 5,191.84, 7,787.64 and 1,296.28

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Solution

The fourth proportional to 5,191.84, 7,787.64 and 1,296.28 is: 1,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.84 : 7,787.64 = 1,296.28 : x
  2. Step 2: Convert to fraction form
    5,191.84/7,787.64 = 1,296.28/x
  3. Step 3: Cross multiply
    5,191.84x = 7,787.64 × 1,296.28
  4. Step 4: Simplify right side
    5,191.84x = 10,094,961.98
  5. Step 5: Solve for x
    x = 10,094,961.98/5,191.84
  6. Step 6: Final answer
    x = 1,944.39

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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.