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Finding the Fourth Proportional to 6,591, 9,888.12 and 1,974

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Solution

The fourth proportional to 6,591, 9,888.12 and 1,974 is: 2,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 9,888.12 = 1,974 : x
  2. Step 2: Convert to fraction form
    6,591/9,888.12 = 1,974/x
  3. Step 3: Cross multiply
    6,591x = 9,888.12 × 1,974
  4. Step 4: Simplify right side
    6,591x = 19,519,148.88
  5. Step 5: Solve for x
    x = 19,519,148.88/6,591
  6. Step 6: Final answer
    x = 2,961.49

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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.