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Finding the Fourth Proportional to 3,258.40, 4,887.55 and 793.24

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Solution

The fourth proportional to 3,258.40, 4,887.55 and 793.24 is: 1,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.40 : 4,887.55 = 793.24 : x
  2. Step 2: Convert to fraction form
    3,258.40/4,887.55 = 793.24/x
  3. Step 3: Cross multiply
    3,258.40x = 4,887.55 × 793.24
  4. Step 4: Simplify right side
    3,258.40x = 3,877,000.16
  5. Step 5: Solve for x
    x = 3,877,000.16/3,258.40
  6. Step 6: Final answer
    x = 1,189.85

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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.