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Finding the Fourth Proportional to 1,120.09, 1,689.10 and 1,104.71

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Solution

The fourth proportional to 1,120.09, 1,689.10 and 1,104.71 is: 1,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.09 : 1,689.10 = 1,104.71 : x
  2. Step 2: Convert to fraction form
    1,120.09/1,689.10 = 1,104.71/x
  3. Step 3: Cross multiply
    1,120.09x = 1,689.10 × 1,104.71
  4. Step 4: Simplify right side
    1,120.09x = 1,865,965.66
  5. Step 5: Solve for x
    x = 1,865,965.66/1,120.09
  6. Step 6: Final answer
    x = 1,665.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.