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Finding the Fourth Proportional to 32,489, 48,645.88 and 21,216.42

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Solution

The fourth proportional to 32,489, 48,645.88 and 21,216.42 is: 31,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489 : 48,645.88 = 21,216.42 : x
  2. Step 2: Convert to fraction form
    32,489/48,645.88 = 21,216.42/x
  3. Step 3: Cross multiply
    32,489x = 48,645.88 × 21,216.42
  4. Step 4: Simplify right side
    32,489x = 1,032,091,421.35
  5. Step 5: Solve for x
    x = 1,032,091,421.35/32,489
  6. Step 6: Final answer
    x = 31,767.41

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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.