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Finding the Fourth Proportional to 2,103.24, 3,154.76 and 642.29

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Solution

The fourth proportional to 2,103.24, 3,154.76 and 642.29 is: 963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.24 : 3,154.76 = 642.29 : x
  2. Step 2: Convert to fraction form
    2,103.24/3,154.76 = 642.29/x
  3. Step 3: Cross multiply
    2,103.24x = 3,154.76 × 642.29
  4. Step 4: Simplify right side
    2,103.24x = 2,026,251.82
  5. Step 5: Solve for x
    x = 2,026,251.82/2,103.24
  6. Step 6: Final answer
    x = 963.40

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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.