Home / 1,538.12-2,122.60-865.87

Finding the Fourth Proportional to 1,538.12, 2,122.60 and 865.87

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Solution

The fourth proportional to 1,538.12, 2,122.60 and 865.87 is: 1,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,122.60 = 865.87 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,122.60 = 865.87/x
  3. Step 3: Cross multiply
    1,538.12x = 2,122.60 × 865.87
  4. Step 4: Simplify right side
    1,538.12x = 1,837,880.72
  5. Step 5: Solve for x
    x = 1,837,880.72/1,538.12
  6. Step 6: Final answer
    x = 1,194.89

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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.