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Finding the Fourth Proportional to 6,750, 10,118.85 and 2,365.05

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Solution

The fourth proportional to 6,750, 10,118.85 and 2,365.05 is: 3,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 10,118.85 = 2,365.05 : x
  2. Step 2: Convert to fraction form
    6,750/10,118.85 = 2,365.05/x
  3. Step 3: Cross multiply
    6,750x = 10,118.85 × 2,365.05
  4. Step 4: Simplify right side
    6,750x = 23,931,586.19
  5. Step 5: Solve for x
    x = 23,931,586.19/6,750
  6. Step 6: Final answer
    x = 3,545.42

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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.