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Finding the Fourth Proportional to 9,116.65, 12,574.73 and 5,581.61

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Solution

The fourth proportional to 9,116.65, 12,574.73 and 5,581.61 is: 7,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.65 : 12,574.73 = 5,581.61 : x
  2. Step 2: Convert to fraction form
    9,116.65/12,574.73 = 5,581.61/x
  3. Step 3: Cross multiply
    9,116.65x = 12,574.73 × 5,581.61
  4. Step 4: Simplify right side
    9,116.65x = 70,187,147.93
  5. Step 5: Solve for x
    x = 70,187,147.93/9,116.65
  6. Step 6: Final answer
    x = 7,698.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.