Home / 1,538.90-2,310.52-788.96

Finding the Fourth Proportional to 1,538.90, 2,310.52 and 788.96

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Solution

The fourth proportional to 1,538.90, 2,310.52 and 788.96 is: 1,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.90 : 2,310.52 = 788.96 : x
  2. Step 2: Convert to fraction form
    1,538.90/2,310.52 = 788.96/x
  3. Step 3: Cross multiply
    1,538.90x = 2,310.52 × 788.96
  4. Step 4: Simplify right side
    1,538.90x = 1,822,901.26
  5. Step 5: Solve for x
    x = 1,822,901.26/1,538.90
  6. Step 6: Final answer
    x = 1,184.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.