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Finding the Fourth Proportional to 27,288, 40,944.96 and 8,820

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Solution

The fourth proportional to 27,288, 40,944.96 and 8,820 is: 13,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 40,944.96 = 8,820 : x
  2. Step 2: Convert to fraction form
    27,288/40,944.96 = 8,820/x
  3. Step 3: Cross multiply
    27,288x = 40,944.96 × 8,820
  4. Step 4: Simplify right side
    27,288x = 361,134,547.20
  5. Step 5: Solve for x
    x = 361,134,547.20/27,288
  6. Step 6: Final answer
    x = 13,234.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.