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Finding the Fourth Proportional to 9,492.52, 13,086.50 and 8,180.20

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Solution

The fourth proportional to 9,492.52, 13,086.50 and 8,180.20 is: 11,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.52 : 13,086.50 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    9,492.52/13,086.50 = 8,180.20/x
  3. Step 3: Cross multiply
    9,492.52x = 13,086.50 × 8,180.20
  4. Step 4: Simplify right side
    9,492.52x = 107,050,187.30
  5. Step 5: Solve for x
    x = 107,050,187.30/9,492.52
  6. Step 6: Final answer
    x = 11,277.32

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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.