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Finding the Fourth Proportional to 10,305.04, 15,460 and 3,379.12

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Solution

The fourth proportional to 10,305.04, 15,460 and 3,379.12 is: 5,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.04 : 15,460 = 3,379.12 : x
  2. Step 2: Convert to fraction form
    10,305.04/15,460 = 3,379.12/x
  3. Step 3: Cross multiply
    10,305.04x = 15,460 × 3,379.12
  4. Step 4: Simplify right side
    10,305.04x = 52,241,195.20
  5. Step 5: Solve for x
    x = 52,241,195.20/10,305.04
  6. Step 6: Final answer
    x = 5,069.48

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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.