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Finding the Fourth Proportional to 13,690.23, 18,891.84 and 7,721.88

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Solution

The fourth proportional to 13,690.23, 18,891.84 and 7,721.88 is: 10,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.23 : 18,891.84 = 7,721.88 : x
  2. Step 2: Convert to fraction form
    13,690.23/18,891.84 = 7,721.88/x
  3. Step 3: Cross multiply
    13,690.23x = 18,891.84 × 7,721.88
  4. Step 4: Simplify right side
    13,690.23x = 145,880,521.46
  5. Step 5: Solve for x
    x = 145,880,521.46/13,690.23
  6. Step 6: Final answer
    x = 10,655.81

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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.