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Finding the Fourth Proportional to 21,613.68, 32,424.84 and 6,823.98

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Solution

The fourth proportional to 21,613.68, 32,424.84 and 6,823.98 is: 10,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.68 : 32,424.84 = 6,823.98 : x
  2. Step 2: Convert to fraction form
    21,613.68/32,424.84 = 6,823.98/x
  3. Step 3: Cross multiply
    21,613.68x = 32,424.84 × 6,823.98
  4. Step 4: Simplify right side
    21,613.68x = 221,266,459.66
  5. Step 5: Solve for x
    x = 221,266,459.66/21,613.68
  6. Step 6: Final answer
    x = 10,237.33

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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.