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Finding the Fourth Proportional to 32,416, 48,638.64 and 18,565

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Solution

The fourth proportional to 32,416, 48,638.64 and 18,565 is: 27,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 48,638.64 = 18,565 : x
  2. Step 2: Convert to fraction form
    32,416/48,638.64 = 18,565/x
  3. Step 3: Cross multiply
    32,416x = 48,638.64 × 18,565
  4. Step 4: Simplify right side
    32,416x = 902,976,351.60
  5. Step 5: Solve for x
    x = 902,976,351.60/32,416
  6. Step 6: Final answer
    x = 27,855.88

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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.