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Finding the Fourth Proportional to 21,646.75, 32,466.87 and 6,853.75

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Solution

The fourth proportional to 21,646.75, 32,466.87 and 6,853.75 is: 10,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.75 : 32,466.87 = 6,853.75 : x
  2. Step 2: Convert to fraction form
    21,646.75/32,466.87 = 6,853.75/x
  3. Step 3: Cross multiply
    21,646.75x = 32,466.87 × 6,853.75
  4. Step 4: Simplify right side
    21,646.75x = 222,519,647.93
  5. Step 5: Solve for x
    x = 222,519,647.93/21,646.75
  6. Step 6: Final answer
    x = 10,279.59

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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.