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Finding the Fourth Proportional to 12,873.68, 17,763.00 and 7,565.65

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Solution

The fourth proportional to 12,873.68, 17,763.00 and 7,565.65 is: 10,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.68 : 17,763.00 = 7,565.65 : x
  2. Step 2: Convert to fraction form
    12,873.68/17,763.00 = 7,565.65/x
  3. Step 3: Cross multiply
    12,873.68x = 17,763.00 × 7,565.65
  4. Step 4: Simplify right side
    12,873.68x = 134,388,668.09
  5. Step 5: Solve for x
    x = 134,388,668.09/12,873.68
  6. Step 6: Final answer
    x = 10,439.02

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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.