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Finding the Fourth Proportional to 1,114.43, 1,661.99 and 1,103.49

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Solution

The fourth proportional to 1,114.43, 1,661.99 and 1,103.49 is: 1,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.43 : 1,661.99 = 1,103.49 : x
  2. Step 2: Convert to fraction form
    1,114.43/1,661.99 = 1,103.49/x
  3. Step 3: Cross multiply
    1,114.43x = 1,661.99 × 1,103.49
  4. Step 4: Simplify right side
    1,114.43x = 1,833,983.83
  5. Step 5: Solve for x
    x = 1,833,983.83/1,114.43
  6. Step 6: Final answer
    x = 1,645.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.