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Finding the Fourth Proportional to 9,142.50, 12,623.78 and 7,014.65

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Solution

The fourth proportional to 9,142.50, 12,623.78 and 7,014.65 is: 9,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.50 : 12,623.78 = 7,014.65 : x
  2. Step 2: Convert to fraction form
    9,142.50/12,623.78 = 7,014.65/x
  3. Step 3: Cross multiply
    9,142.50x = 12,623.78 × 7,014.65
  4. Step 4: Simplify right side
    9,142.50x = 88,551,398.38
  5. Step 5: Solve for x
    x = 88,551,398.38/9,142.50
  6. Step 6: Final answer
    x = 9,685.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.