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Finding the Fourth Proportional to 10,644.61, 15,956.11 and 5,089.81

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Solution

The fourth proportional to 10,644.61, 15,956.11 and 5,089.81 is: 7,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.61 : 15,956.11 = 5,089.81 : x
  2. Step 2: Convert to fraction form
    10,644.61/15,956.11 = 5,089.81/x
  3. Step 3: Cross multiply
    10,644.61x = 15,956.11 × 5,089.81
  4. Step 4: Simplify right side
    10,644.61x = 81,213,568.24
  5. Step 5: Solve for x
    x = 81,213,568.24/10,644.61
  6. Step 6: Final answer
    x = 7,629.55

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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.