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Finding the Fourth Proportional to 8,561.65, 12,842.39 and 4,614.77

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Solution

The fourth proportional to 8,561.65, 12,842.39 and 4,614.77 is: 6,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.65 : 12,842.39 = 4,614.77 : x
  2. Step 2: Convert to fraction form
    8,561.65/12,842.39 = 4,614.77/x
  3. Step 3: Cross multiply
    8,561.65x = 12,842.39 × 4,614.77
  4. Step 4: Simplify right side
    8,561.65x = 59,264,623.43
  5. Step 5: Solve for x
    x = 59,264,623.43/8,561.65
  6. Step 6: Final answer
    x = 6,922.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.