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Finding the Fourth Proportional to 2,103.03, 2,898.90 and 1,542.69

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Solution

The fourth proportional to 2,103.03, 2,898.90 and 1,542.69 is: 2,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.03 : 2,898.90 = 1,542.69 : x
  2. Step 2: Convert to fraction form
    2,103.03/2,898.90 = 1,542.69/x
  3. Step 3: Cross multiply
    2,103.03x = 2,898.90 × 1,542.69
  4. Step 4: Simplify right side
    2,103.03x = 4,472,104.04
  5. Step 5: Solve for x
    x = 4,472,104.04/2,103.03
  6. Step 6: Final answer
    x = 2,126.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.