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Finding the Fourth Proportional to 1,138.68, 1,582.20 and 1,125

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Solution

The fourth proportional to 1,138.68, 1,582.20 and 1,125 is: 1,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.68 : 1,582.20 = 1,125 : x
  2. Step 2: Convert to fraction form
    1,138.68/1,582.20 = 1,125/x
  3. Step 3: Cross multiply
    1,138.68x = 1,582.20 × 1,125
  4. Step 4: Simplify right side
    1,138.68x = 1,779,975
  5. Step 5: Solve for x
    x = 1,779,975/1,138.68
  6. Step 6: Final answer
    x = 1,563.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.