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Finding the Fourth Proportional to 10,305.68, 15,447.78 and 7,835.31

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Solution

The fourth proportional to 10,305.68, 15,447.78 and 7,835.31 is: 11,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.68 : 15,447.78 = 7,835.31 : x
  2. Step 2: Convert to fraction form
    10,305.68/15,447.78 = 7,835.31/x
  3. Step 3: Cross multiply
    10,305.68x = 15,447.78 × 7,835.31
  4. Step 4: Simplify right side
    10,305.68x = 121,038,145.11
  5. Step 5: Solve for x
    x = 121,038,145.11/10,305.68
  6. Step 6: Final answer
    x = 11,744.81

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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.