Home / 2,103.12-3,156.24-788.08

Finding the Fourth Proportional to 2,103.12, 3,156.24 and 788.08

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Solution

The fourth proportional to 2,103.12, 3,156.24 and 788.08 is: 1,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.12 : 3,156.24 = 788.08 : x
  2. Step 2: Convert to fraction form
    2,103.12/3,156.24 = 788.08/x
  3. Step 3: Cross multiply
    2,103.12x = 3,156.24 × 788.08
  4. Step 4: Simplify right side
    2,103.12x = 2,487,369.62
  5. Step 5: Solve for x
    x = 2,487,369.62/2,103.12
  6. Step 6: Final answer
    x = 1,182.70

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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.