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Finding the Fourth Proportional to 5,291.50, 7,938.33 and 2,213.50

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Solution

The fourth proportional to 5,291.50, 7,938.33 and 2,213.50 is: 3,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.50 : 7,938.33 = 2,213.50 : x
  2. Step 2: Convert to fraction form
    5,291.50/7,938.33 = 2,213.50/x
  3. Step 3: Cross multiply
    5,291.50x = 7,938.33 × 2,213.50
  4. Step 4: Simplify right side
    5,291.50x = 17,571,493.46
  5. Step 5: Solve for x
    x = 17,571,493.46/5,291.50
  6. Step 6: Final answer
    x = 3,320.70

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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.