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Finding the Fourth Proportional to 22,432, 33,648 and 6,016

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Solution

The fourth proportional to 22,432, 33,648 and 6,016 is: 9,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 33,648 = 6,016 : x
  2. Step 2: Convert to fraction form
    22,432/33,648 = 6,016/x
  3. Step 3: Cross multiply
    22,432x = 33,648 × 6,016
  4. Step 4: Simplify right side
    22,432x = 202,426,368
  5. Step 5: Solve for x
    x = 202,426,368/22,432
  6. Step 6: Final answer
    x = 9,024

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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.