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Finding the Fourth Proportional to 12,642.99, 18,964.92 and 4,744.71

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Solution

The fourth proportional to 12,642.99, 18,964.92 and 4,744.71 is: 7,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.99 : 18,964.92 = 4,744.71 : x
  2. Step 2: Convert to fraction form
    12,642.99/18,964.92 = 4,744.71/x
  3. Step 3: Cross multiply
    12,642.99x = 18,964.92 × 4,744.71
  4. Step 4: Simplify right side
    12,642.99x = 89,983,045.57
  5. Step 5: Solve for x
    x = 89,983,045.57/12,642.99
  6. Step 6: Final answer
    x = 7,117.23

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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.