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Finding the Fourth Proportional to 21,684.80, 32,531.22 and 6,897.44

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Solution

The fourth proportional to 21,684.80, 32,531.22 and 6,897.44 is: 10,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.80 : 32,531.22 = 6,897.44 : x
  2. Step 2: Convert to fraction form
    21,684.80/32,531.22 = 6,897.44/x
  3. Step 3: Cross multiply
    21,684.80x = 32,531.22 × 6,897.44
  4. Step 4: Simplify right side
    21,684.80x = 224,382,138.08
  5. Step 5: Solve for x
    x = 224,382,138.08/21,684.80
  6. Step 6: Final answer
    x = 10,347.44

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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.