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Finding the Fourth Proportional to 12,711.95, 17,547.80 and 7,675.09

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Solution

The fourth proportional to 12,711.95, 17,547.80 and 7,675.09 is: 10,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.95 : 17,547.80 = 7,675.09 : x
  2. Step 2: Convert to fraction form
    12,711.95/17,547.80 = 7,675.09/x
  3. Step 3: Cross multiply
    12,711.95x = 17,547.80 × 7,675.09
  4. Step 4: Simplify right side
    12,711.95x = 134,680,944.30
  5. Step 5: Solve for x
    x = 134,680,944.30/12,711.95
  6. Step 6: Final answer
    x = 10,594.83

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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.