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Finding the Fourth Proportional to 2,631.84, 3,947.40 and 783.24

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Solution

The fourth proportional to 2,631.84, 3,947.40 and 783.24 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.84 : 3,947.40 = 783.24 : x
  2. Step 2: Convert to fraction form
    2,631.84/3,947.40 = 783.24/x
  3. Step 3: Cross multiply
    2,631.84x = 3,947.40 × 783.24
  4. Step 4: Simplify right side
    2,631.84x = 3,091,761.58
  5. Step 5: Solve for x
    x = 3,091,761.58/2,631.84
  6. Step 6: Final answer
    x = 1,174.75

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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.