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Finding the Fourth Proportional to 12,642.30, 18,974.93 and 6,406.65

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Solution

The fourth proportional to 12,642.30, 18,974.93 and 6,406.65 is: 9,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.30 : 18,974.93 = 6,406.65 : x
  2. Step 2: Convert to fraction form
    12,642.30/18,974.93 = 6,406.65/x
  3. Step 3: Cross multiply
    12,642.30x = 18,974.93 × 6,406.65
  4. Step 4: Simplify right side
    12,642.30x = 121,565,703.25
  5. Step 5: Solve for x
    x = 121,565,703.25/12,642.30
  6. Step 6: Final answer
    x = 9,615.79

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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.