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Finding the Fourth Proportional to 2,103.53, 3,154.86 and 642.33

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Solution

The fourth proportional to 2,103.53, 3,154.86 and 642.33 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.53 : 3,154.86 = 642.33 : x
  2. Step 2: Convert to fraction form
    2,103.53/3,154.86 = 642.33/x
  3. Step 3: Cross multiply
    2,103.53x = 3,154.86 × 642.33
  4. Step 4: Simplify right side
    2,103.53x = 2,026,461.22
  5. Step 5: Solve for x
    x = 2,026,461.22/2,103.53
  6. Step 6: Final answer
    x = 963.36

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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.