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Finding the Fourth Proportional to 1,135.50, 1,562.13 and 1,086.90

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Solution

The fourth proportional to 1,135.50, 1,562.13 and 1,086.90 is: 1,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.50 : 1,562.13 = 1,086.90 : x
  2. Step 2: Convert to fraction form
    1,135.50/1,562.13 = 1,086.90/x
  3. Step 3: Cross multiply
    1,135.50x = 1,562.13 × 1,086.90
  4. Step 4: Simplify right side
    1,135.50x = 1,697,879.10
  5. Step 5: Solve for x
    x = 1,697,879.10/1,135.50
  6. Step 6: Final answer
    x = 1,495.27

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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.