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Finding the Fourth Proportional to 7,827.65, 10,806.32 and 5,323.13

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Solution

The fourth proportional to 7,827.65, 10,806.32 and 5,323.13 is: 7,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.65 : 10,806.32 = 5,323.13 : x
  2. Step 2: Convert to fraction form
    7,827.65/10,806.32 = 5,323.13/x
  3. Step 3: Cross multiply
    7,827.65x = 10,806.32 × 5,323.13
  4. Step 4: Simplify right side
    7,827.65x = 57,523,419.57
  5. Step 5: Solve for x
    x = 57,523,419.57/7,827.65
  6. Step 6: Final answer
    x = 7,348.75

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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.