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Finding the Fourth Proportional to 8,146.78, 11,242.50 and 4,420.78

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Solution

The fourth proportional to 8,146.78, 11,242.50 and 4,420.78 is: 6,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.78 : 11,242.50 = 4,420.78 : x
  2. Step 2: Convert to fraction form
    8,146.78/11,242.50 = 4,420.78/x
  3. Step 3: Cross multiply
    8,146.78x = 11,242.50 × 4,420.78
  4. Step 4: Simplify right side
    8,146.78x = 49,700,619.15
  5. Step 5: Solve for x
    x = 49,700,619.15/8,146.78
  6. Step 6: Final answer
    x = 6,100.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.