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Finding the Fourth Proportional to 21,971.20, 32,908.16 and 18,083.20

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Solution

The fourth proportional to 21,971.20, 32,908.16 and 18,083.20 is: 27,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.20 : 32,908.16 = 18,083.20 : x
  2. Step 2: Convert to fraction form
    21,971.20/32,908.16 = 18,083.20/x
  3. Step 3: Cross multiply
    21,971.20x = 32,908.16 × 18,083.20
  4. Step 4: Simplify right side
    21,971.20x = 595,084,838.91
  5. Step 5: Solve for x
    x = 595,084,838.91/21,971.20
  6. Step 6: Final answer
    x = 27,084.77

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1.5x scale

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.