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Finding the Fourth Proportional to 7,275.61, 10,918.19 and 3,991

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Solution

The fourth proportional to 7,275.61, 10,918.19 and 3,991 is: 5,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.61 : 10,918.19 = 3,991 : x
  2. Step 2: Convert to fraction form
    7,275.61/10,918.19 = 3,991/x
  3. Step 3: Cross multiply
    7,275.61x = 10,918.19 × 3,991
  4. Step 4: Simplify right side
    7,275.61x = 43,574,496.29
  5. Step 5: Solve for x
    x = 43,574,496.29/7,275.61
  6. Step 6: Final answer
    x = 5,989.12

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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.