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Finding the Fourth Proportional to 22,678.41, 34,023.78 and 7,888.17

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Solution

The fourth proportional to 22,678.41, 34,023.78 and 7,888.17 is: 11,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.41 : 34,023.78 = 7,888.17 : x
  2. Step 2: Convert to fraction form
    22,678.41/34,023.78 = 7,888.17/x
  3. Step 3: Cross multiply
    22,678.41x = 34,023.78 × 7,888.17
  4. Step 4: Simplify right side
    22,678.41x = 268,385,360.68
  5. Step 5: Solve for x
    x = 268,385,360.68/22,678.41
  6. Step 6: Final answer
    x = 11,834.40

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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.