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Finding the Fourth Proportional to 18,675.81, 28,020.38 and 9,315

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Solution

The fourth proportional to 18,675.81, 28,020.38 and 9,315 is: 13,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675.81 : 28,020.38 = 9,315 : x
  2. Step 2: Convert to fraction form
    18,675.81/28,020.38 = 9,315/x
  3. Step 3: Cross multiply
    18,675.81x = 28,020.38 × 9,315
  4. Step 4: Simplify right side
    18,675.81x = 261,009,793.13
  5. Step 5: Solve for x
    x = 261,009,793.13/18,675.81
  6. Step 6: Final answer
    x = 13,975.82

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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.