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Finding the Fourth Proportional to 8,168.50, 11,272.53 and 4,442.50

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Solution

The fourth proportional to 8,168.50, 11,272.53 and 4,442.50 is: 6,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.50 : 11,272.53 = 4,442.50 : x
  2. Step 2: Convert to fraction form
    8,168.50/11,272.53 = 4,442.50/x
  3. Step 3: Cross multiply
    8,168.50x = 11,272.53 × 4,442.50
  4. Step 4: Simplify right side
    8,168.50x = 50,078,214.53
  5. Step 5: Solve for x
    x = 50,078,214.53/8,168.50
  6. Step 6: Final answer
    x = 6,130.65

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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.