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Finding the Fourth Proportional to 2,085.98, 3,129.42 and 625.01

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Solution

The fourth proportional to 2,085.98, 3,129.42 and 625.01 is: 937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.98 : 3,129.42 = 625.01 : x
  2. Step 2: Convert to fraction form
    2,085.98/3,129.42 = 625.01/x
  3. Step 3: Cross multiply
    2,085.98x = 3,129.42 × 625.01
  4. Step 4: Simplify right side
    2,085.98x = 1,955,915.67
  5. Step 5: Solve for x
    x = 1,955,915.67/2,085.98
  6. Step 6: Final answer
    x = 937.65

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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.