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Finding the Fourth Proportional to 21,978.29, 32,966.40 and 7,185.26

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Solution

The fourth proportional to 21,978.29, 32,966.40 and 7,185.26 is: 10,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.29 : 32,966.40 = 7,185.26 : x
  2. Step 2: Convert to fraction form
    21,978.29/32,966.40 = 7,185.26/x
  3. Step 3: Cross multiply
    21,978.29x = 32,966.40 × 7,185.26
  4. Step 4: Simplify right side
    21,978.29x = 236,872,155.26
  5. Step 5: Solve for x
    x = 236,872,155.26/21,978.29
  6. Step 6: Final answer
    x = 10,777.55

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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.