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Finding the Fourth Proportional to 2,085.12, 3,125.49 and 988.17

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Solution

The fourth proportional to 2,085.12, 3,125.49 and 988.17 is: 1,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.12 : 3,125.49 = 988.17 : x
  2. Step 2: Convert to fraction form
    2,085.12/3,125.49 = 988.17/x
  3. Step 3: Cross multiply
    2,085.12x = 3,125.49 × 988.17
  4. Step 4: Simplify right side
    2,085.12x = 3,088,515.45
  5. Step 5: Solve for x
    x = 3,088,515.45/2,085.12
  6. Step 6: Final answer
    x = 1,481.22

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1.5x scale

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.