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Finding the Fourth Proportional to 7,918.17, 11,880.42 and 2,989.20

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Solution

The fourth proportional to 7,918.17, 11,880.42 and 2,989.20 is: 4,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.17 : 11,880.42 = 2,989.20 : x
  2. Step 2: Convert to fraction form
    7,918.17/11,880.42 = 2,989.20/x
  3. Step 3: Cross multiply
    7,918.17x = 11,880.42 × 2,989.20
  4. Step 4: Simplify right side
    7,918.17x = 35,513,001.62
  5. Step 5: Solve for x
    x = 35,513,001.62/7,918.17
  6. Step 6: Final answer
    x = 4,485.00

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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.