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Finding the Fourth Proportional to 3,390.70, 5,085.22 and 925.53

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Solution

The fourth proportional to 3,390.70, 5,085.22 and 925.53 is: 1,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.70 : 5,085.22 = 925.53 : x
  2. Step 2: Convert to fraction form
    3,390.70/5,085.22 = 925.53/x
  3. Step 3: Cross multiply
    3,390.70x = 5,085.22 × 925.53
  4. Step 4: Simplify right side
    3,390.70x = 4,706,523.67
  5. Step 5: Solve for x
    x = 4,706,523.67/3,390.70
  6. Step 6: Final answer
    x = 1,388.07

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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.