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Finding the Fourth Proportional to 13,759.53, 18,988.16 and 7,471.91

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Solution

The fourth proportional to 13,759.53, 18,988.16 and 7,471.91 is: 10,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.53 : 18,988.16 = 7,471.91 : x
  2. Step 2: Convert to fraction form
    13,759.53/18,988.16 = 7,471.91/x
  3. Step 3: Cross multiply
    13,759.53x = 18,988.16 × 7,471.91
  4. Step 4: Simplify right side
    13,759.53x = 141,877,690.29
  5. Step 5: Solve for x
    x = 141,877,690.29/13,759.53
  6. Step 6: Final answer
    x = 10,311.23

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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.