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Finding the Fourth Proportional to 21,869.52, 32,817.24 and 8,028.24

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Solution

The fourth proportional to 21,869.52, 32,817.24 and 8,028.24 is: 12,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,869.52 : 32,817.24 = 8,028.24 : x
  2. Step 2: Convert to fraction form
    21,869.52/32,817.24 = 8,028.24/x
  3. Step 3: Cross multiply
    21,869.52x = 32,817.24 × 8,028.24
  4. Step 4: Simplify right side
    21,869.52x = 263,464,678.86
  5. Step 5: Solve for x
    x = 263,464,678.86/21,869.52
  6. Step 6: Final answer
    x = 12,047.12

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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.