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Finding the Fourth Proportional to 9,767.20, 13,500.88 and 8,992.18

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Solution

The fourth proportional to 9,767.20, 13,500.88 and 8,992.18 is: 12,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.20 : 13,500.88 = 8,992.18 : x
  2. Step 2: Convert to fraction form
    9,767.20/13,500.88 = 8,992.18/x
  3. Step 3: Cross multiply
    9,767.20x = 13,500.88 × 8,992.18
  4. Step 4: Simplify right side
    9,767.20x = 121,402,343.12
  5. Step 5: Solve for x
    x = 121,402,343.12/9,767.20
  6. Step 6: Final answer
    x = 12,429.60

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