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Finding the Fourth Proportional to 2,631.24, 3,947.40 and 782.28

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Solution

The fourth proportional to 2,631.24, 3,947.40 and 782.28 is: 1,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.24 : 3,947.40 = 782.28 : x
  2. Step 2: Convert to fraction form
    2,631.24/3,947.40 = 782.28/x
  3. Step 3: Cross multiply
    2,631.24x = 3,947.40 × 782.28
  4. Step 4: Simplify right side
    2,631.24x = 3,087,972.07
  5. Step 5: Solve for x
    x = 3,087,972.07/2,631.24
  6. Step 6: Final answer
    x = 1,173.58

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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.