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Finding the Fourth Proportional to 21,987.40, 32,989.20 and 8,849.20

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Solution

The fourth proportional to 21,987.40, 32,989.20 and 8,849.20 is: 13,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.40 : 32,989.20 = 8,849.20 : x
  2. Step 2: Convert to fraction form
    21,987.40/32,989.20 = 8,849.20/x
  3. Step 3: Cross multiply
    21,987.40x = 32,989.20 × 8,849.20
  4. Step 4: Simplify right side
    21,987.40x = 291,928,028.64
  5. Step 5: Solve for x
    x = 291,928,028.64/21,987.40
  6. Step 6: Final answer
    x = 13,277.06

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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.