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Finding the Fourth Proportional to 12,547.67, 17,315.96 and 6,882.95

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Solution

The fourth proportional to 12,547.67, 17,315.96 and 6,882.95 is: 9,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.67 : 17,315.96 = 6,882.95 : x
  2. Step 2: Convert to fraction form
    12,547.67/17,315.96 = 6,882.95/x
  3. Step 3: Cross multiply
    12,547.67x = 17,315.96 × 6,882.95
  4. Step 4: Simplify right side
    12,547.67x = 119,184,895.76
  5. Step 5: Solve for x
    x = 119,184,895.76/12,547.67
  6. Step 6: Final answer
    x = 9,498.57

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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.