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Finding the Fourth Proportional to 11,547.95, 17,278.68 and 8,223.88

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Solution

The fourth proportional to 11,547.95, 17,278.68 and 8,223.88 is: 12,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.95 : 17,278.68 = 8,223.88 : x
  2. Step 2: Convert to fraction form
    11,547.95/17,278.68 = 8,223.88/x
  3. Step 3: Cross multiply
    11,547.95x = 17,278.68 × 8,223.88
  4. Step 4: Simplify right side
    11,547.95x = 142,097,749.76
  5. Step 5: Solve for x
    x = 142,097,749.76/11,547.95
  6. Step 6: Final answer
    x = 12,305.02

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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.