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Finding the Fourth Proportional to 1,349.77, 1,863.54 and 1,101.68

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Solution

The fourth proportional to 1,349.77, 1,863.54 and 1,101.68 is: 1,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.77 : 1,863.54 = 1,101.68 : x
  2. Step 2: Convert to fraction form
    1,349.77/1,863.54 = 1,101.68/x
  3. Step 3: Cross multiply
    1,349.77x = 1,863.54 × 1,101.68
  4. Step 4: Simplify right side
    1,349.77x = 2,053,017.33
  5. Step 5: Solve for x
    x = 2,053,017.33/1,349.77
  6. Step 6: Final answer
    x = 1,521.02

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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.