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Finding the Fourth Proportional to 21,598, 32,397 and 7,747

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Solution

The fourth proportional to 21,598, 32,397 and 7,747 is: 11,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598 : 32,397 = 7,747 : x
  2. Step 2: Convert to fraction form
    21,598/32,397 = 7,747/x
  3. Step 3: Cross multiply
    21,598x = 32,397 × 7,747
  4. Step 4: Simplify right side
    21,598x = 250,979,559
  5. Step 5: Solve for x
    x = 250,979,559/21,598
  6. Step 6: Final answer
    x = 11,620.50

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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.