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Finding the Fourth Proportional to 21,981, 32,971.56 and 6,399

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Solution

The fourth proportional to 21,981, 32,971.56 and 6,399 is: 9,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981 : 32,971.56 = 6,399 : x
  2. Step 2: Convert to fraction form
    21,981/32,971.56 = 6,399/x
  3. Step 3: Cross multiply
    21,981x = 32,971.56 × 6,399
  4. Step 4: Simplify right side
    21,981x = 210,985,012.44
  5. Step 5: Solve for x
    x = 210,985,012.44/21,981
  6. Step 6: Final answer
    x = 9,598.52

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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.