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Finding the Fourth Proportional to 14,004.65, 20,987.18 and 7,767.41

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Solution

The fourth proportional to 14,004.65, 20,987.18 and 7,767.41 is: 11,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.65 : 20,987.18 = 7,767.41 : x
  2. Step 2: Convert to fraction form
    14,004.65/20,987.18 = 7,767.41/x
  3. Step 3: Cross multiply
    14,004.65x = 20,987.18 × 7,767.41
  4. Step 4: Simplify right side
    14,004.65x = 163,015,992.97
  5. Step 5: Solve for x
    x = 163,015,992.97/14,004.65
  6. Step 6: Final answer
    x = 11,640.13

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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.