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Finding the Fourth Proportional to 6,672.16, 10,006.51 and 1,991.13

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Solution

The fourth proportional to 6,672.16, 10,006.51 and 1,991.13 is: 2,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.16 : 10,006.51 = 1,991.13 : x
  2. Step 2: Convert to fraction form
    6,672.16/10,006.51 = 1,991.13/x
  3. Step 3: Cross multiply
    6,672.16x = 10,006.51 × 1,991.13
  4. Step 4: Simplify right side
    6,672.16x = 19,924,202.27
  5. Step 5: Solve for x
    x = 19,924,202.27/6,672.16
  6. Step 6: Final answer
    x = 2,986.17

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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.