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Finding the Fourth Proportional to 9,842, 13,581.96 and 6,305.90

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Solution

The fourth proportional to 9,842, 13,581.96 and 6,305.90 is: 8,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842 : 13,581.96 = 6,305.90 : x
  2. Step 2: Convert to fraction form
    9,842/13,581.96 = 6,305.90/x
  3. Step 3: Cross multiply
    9,842x = 13,581.96 × 6,305.90
  4. Step 4: Simplify right side
    9,842x = 85,646,413.65
  5. Step 5: Solve for x
    x = 85,646,413.65/9,842
  6. Step 6: Final answer
    x = 8,702.14

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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.