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Finding the Fourth Proportional to 6,223.67, 9,337 and 1,781.40

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Solution

The fourth proportional to 6,223.67, 9,337 and 1,781.40 is: 2,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.67 : 9,337 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    6,223.67/9,337 = 1,781.40/x
  3. Step 3: Cross multiply
    6,223.67x = 9,337 × 1,781.40
  4. Step 4: Simplify right side
    6,223.67x = 16,632,931.80
  5. Step 5: Solve for x
    x = 16,632,931.80/6,223.67
  6. Step 6: Final answer
    x = 2,672.53

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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.