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Finding the Fourth Proportional to 2,373.71, 3,560.66 and 642.38

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Solution

The fourth proportional to 2,373.71, 3,560.66 and 642.38 is: 963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.71 : 3,560.66 = 642.38 : x
  2. Step 2: Convert to fraction form
    2,373.71/3,560.66 = 642.38/x
  3. Step 3: Cross multiply
    2,373.71x = 3,560.66 × 642.38
  4. Step 4: Simplify right side
    2,373.71x = 2,287,296.77
  5. Step 5: Solve for x
    x = 2,287,296.77/2,373.71
  6. Step 6: Final answer
    x = 963.60

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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.