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Finding the Fourth Proportional to 18,875, 28,315.34 and 5,727.08

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Solution

The fourth proportional to 18,875, 28,315.34 and 5,727.08 is: 8,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,875 : 28,315.34 = 5,727.08 : x
  2. Step 2: Convert to fraction form
    18,875/28,315.34 = 5,727.08/x
  3. Step 3: Cross multiply
    18,875x = 28,315.34 × 5,727.08
  4. Step 4: Simplify right side
    18,875x = 162,164,217.41
  5. Step 5: Solve for x
    x = 162,164,217.41/18,875
  6. Step 6: Final answer
    x = 8,591.48

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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.