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Finding the Fourth Proportional to 43,682.68, 65,412.84 and 28,869.40

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Solution

The fourth proportional to 43,682.68, 65,412.84 and 28,869.40 is: 43,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,682.68 : 65,412.84 = 28,869.40 : x
  2. Step 2: Convert to fraction form
    43,682.68/65,412.84 = 28,869.40/x
  3. Step 3: Cross multiply
    43,682.68x = 65,412.84 × 28,869.40
  4. Step 4: Simplify right side
    43,682.68x = 1,888,429,443.10
  5. Step 5: Solve for x
    x = 1,888,429,443.10/43,682.68
  6. Step 6: Final answer
    x = 43,230.62

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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.