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Finding the Fourth Proportional to 1,187.90, 1,790.74 and 1,108.62

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Solution

The fourth proportional to 1,187.90, 1,790.74 and 1,108.62 is: 1,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.90 : 1,790.74 = 1,108.62 : x
  2. Step 2: Convert to fraction form
    1,187.90/1,790.74 = 1,108.62/x
  3. Step 3: Cross multiply
    1,187.90x = 1,790.74 × 1,108.62
  4. Step 4: Simplify right side
    1,187.90x = 1,985,250.18
  5. Step 5: Solve for x
    x = 1,985,250.18/1,187.90
  6. Step 6: Final answer
    x = 1,671.23

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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.