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Finding the Fourth Proportional to 21,599, 32,398.50 and 7,748

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Solution

The fourth proportional to 21,599, 32,398.50 and 7,748 is: 11,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 32,398.50 = 7,748 : x
  2. Step 2: Convert to fraction form
    21,599/32,398.50 = 7,748/x
  3. Step 3: Cross multiply
    21,599x = 32,398.50 × 7,748
  4. Step 4: Simplify right side
    21,599x = 251,023,578
  5. Step 5: Solve for x
    x = 251,023,578/21,599
  6. Step 6: Final answer
    x = 11,622

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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.