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Finding the Fourth Proportional to 43,870.28, 65,785.64 and 21,675

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Solution

The fourth proportional to 43,870.28, 65,785.64 and 21,675 is: 32,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,870.28 : 65,785.64 = 21,675 : x
  2. Step 2: Convert to fraction form
    43,870.28/65,785.64 = 21,675/x
  3. Step 3: Cross multiply
    43,870.28x = 65,785.64 × 21,675
  4. Step 4: Simplify right side
    43,870.28x = 1,425,903,747
  5. Step 5: Solve for x
    x = 1,425,903,747/43,870.28
  6. Step 6: Final answer
    x = 32,502.73

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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.