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Finding the Fourth Proportional to 6,373.31, 9,561.32 and 1,991.10

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Solution

The fourth proportional to 6,373.31, 9,561.32 and 1,991.10 is: 2,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.31 : 9,561.32 = 1,991.10 : x
  2. Step 2: Convert to fraction form
    6,373.31/9,561.32 = 1,991.10/x
  3. Step 3: Cross multiply
    6,373.31x = 9,561.32 × 1,991.10
  4. Step 4: Simplify right side
    6,373.31x = 19,037,534.30
  5. Step 5: Solve for x
    x = 19,037,534.30/6,373.31
  6. Step 6: Final answer
    x = 2,987.07

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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.