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Finding the Fourth Proportional to 9,449.65, 13,039.59 and 5,200.66

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Solution

The fourth proportional to 9,449.65, 13,039.59 and 5,200.66 is: 7,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.65 : 13,039.59 = 5,200.66 : x
  2. Step 2: Convert to fraction form
    9,449.65/13,039.59 = 5,200.66/x
  3. Step 3: Cross multiply
    9,449.65x = 13,039.59 × 5,200.66
  4. Step 4: Simplify right side
    9,449.65x = 67,814,474.13
  5. Step 5: Solve for x
    x = 67,814,474.13/9,449.65
  6. Step 6: Final answer
    x = 7,176.40

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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.