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Finding the Fourth Proportional to 21,976.40, 32,955 and 6,393.68

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Solution

The fourth proportional to 21,976.40, 32,955 and 6,393.68 is: 9,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.40 : 32,955 = 6,393.68 : x
  2. Step 2: Convert to fraction form
    21,976.40/32,955 = 6,393.68/x
  3. Step 3: Cross multiply
    21,976.40x = 32,955 × 6,393.68
  4. Step 4: Simplify right side
    21,976.40x = 210,703,724.40
  5. Step 5: Solve for x
    x = 210,703,724.40/21,976.40
  6. Step 6: Final answer
    x = 9,587.73

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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.