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Finding the Fourth Proportional to 43,684.68, 65,415.84 and 28,871.40

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Solution

The fourth proportional to 43,684.68, 65,415.84 and 28,871.40 is: 43,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,684.68 : 65,415.84 = 28,871.40 : x
  2. Step 2: Convert to fraction form
    43,684.68/65,415.84 = 28,871.40/x
  3. Step 3: Cross multiply
    43,684.68x = 65,415.84 × 28,871.40
  4. Step 4: Simplify right side
    43,684.68x = 1,888,646,882.98
  5. Step 5: Solve for x
    x = 1,888,646,882.98/43,684.68
  6. Step 6: Final answer
    x = 43,233.62

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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.