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Finding the Fourth Proportional to 6,376.32, 9,564.54 and 1,993.80

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Solution

The fourth proportional to 6,376.32, 9,564.54 and 1,993.80 is: 2,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.32 : 9,564.54 = 1,993.80 : x
  2. Step 2: Convert to fraction form
    6,376.32/9,564.54 = 1,993.80/x
  3. Step 3: Cross multiply
    6,376.32x = 9,564.54 × 1,993.80
  4. Step 4: Simplify right side
    6,376.32x = 19,069,779.85
  5. Step 5: Solve for x
    x = 19,069,779.85/6,376.32
  6. Step 6: Final answer
    x = 2,990.72

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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.