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Finding the Fourth Proportional to 2,373.81, 3,560.71 and 642.43

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Solution

The fourth proportional to 2,373.81, 3,560.71 and 642.43 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.81 : 3,560.71 = 642.43 : x
  2. Step 2: Convert to fraction form
    2,373.81/3,560.71 = 642.43/x
  3. Step 3: Cross multiply
    2,373.81x = 3,560.71 × 642.43
  4. Step 4: Simplify right side
    2,373.81x = 2,287,505.32
  5. Step 5: Solve for x
    x = 2,287,505.32/2,373.81
  6. Step 6: Final answer
    x = 963.65

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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.