Home / 2,088.13-3,131.85-772.50

Finding the Fourth Proportional to 2,088.13, 3,131.85 and 772.50

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Solution

The fourth proportional to 2,088.13, 3,131.85 and 772.50 is: 1,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.13 : 3,131.85 = 772.50 : x
  2. Step 2: Convert to fraction form
    2,088.13/3,131.85 = 772.50/x
  3. Step 3: Cross multiply
    2,088.13x = 3,131.85 × 772.50
  4. Step 4: Simplify right side
    2,088.13x = 2,419,354.13
  5. Step 5: Solve for x
    x = 2,419,354.13/2,088.13
  6. Step 6: Final answer
    x = 1,158.62

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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.