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Finding the Fourth Proportional to 32,446.56, 44,788 and 20,518

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Solution

The fourth proportional to 32,446.56, 44,788 and 20,518 is: 28,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.56 : 44,788 = 20,518 : x
  2. Step 2: Convert to fraction form
    32,446.56/44,788 = 20,518/x
  3. Step 3: Cross multiply
    32,446.56x = 44,788 × 20,518
  4. Step 4: Simplify right side
    32,446.56x = 918,960,184
  5. Step 5: Solve for x
    x = 918,960,184/32,446.56
  6. Step 6: Final answer
    x = 28,322.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.