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Finding the Fourth Proportional to 10,309.65, 15,465.31 and 2,914.17

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Solution

The fourth proportional to 10,309.65, 15,465.31 and 2,914.17 is: 4,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.65 : 15,465.31 = 2,914.17 : x
  2. Step 2: Convert to fraction form
    10,309.65/15,465.31 = 2,914.17/x
  3. Step 3: Cross multiply
    10,309.65x = 15,465.31 × 2,914.17
  4. Step 4: Simplify right side
    10,309.65x = 45,068,542.44
  5. Step 5: Solve for x
    x = 45,068,542.44/10,309.65
  6. Step 6: Final answer
    x = 4,371.49

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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.