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Finding the Fourth Proportional to 7,350, 11,025 and 1,878

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Solution

The fourth proportional to 7,350, 11,025 and 1,878 is: 2,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 11,025 = 1,878 : x
  2. Step 2: Convert to fraction form
    7,350/11,025 = 1,878/x
  3. Step 3: Cross multiply
    7,350x = 11,025 × 1,878
  4. Step 4: Simplify right side
    7,350x = 20,704,950
  5. Step 5: Solve for x
    x = 20,704,950/7,350
  6. Step 6: Final answer
    x = 2,817

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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.