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Finding the Fourth Proportional to 32,669.16, 48,964.86 and 18,789

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Solution

The fourth proportional to 32,669.16, 48,964.86 and 18,789 is: 28,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669.16 : 48,964.86 = 18,789 : x
  2. Step 2: Convert to fraction form
    32,669.16/48,964.86 = 18,789/x
  3. Step 3: Cross multiply
    32,669.16x = 48,964.86 × 18,789
  4. Step 4: Simplify right side
    32,669.16x = 920,000,754.54
  5. Step 5: Solve for x
    x = 920,000,754.54/32,669.16
  6. Step 6: Final answer
    x = 28,161.14

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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.