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Finding the Fourth Proportional to 21,853.52, 32,785.20 and 8,002.52

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Solution

The fourth proportional to 21,853.52, 32,785.20 and 8,002.52 is: 12,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.52 : 32,785.20 = 8,002.52 : x
  2. Step 2: Convert to fraction form
    21,853.52/32,785.20 = 8,002.52/x
  3. Step 3: Cross multiply
    21,853.52x = 32,785.20 × 8,002.52
  4. Step 4: Simplify right side
    21,853.52x = 262,364,218.70
  5. Step 5: Solve for x
    x = 262,364,218.70/21,853.52
  6. Step 6: Final answer
    x = 12,005.58

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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.