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Finding the Fourth Proportional to 2,776.99, 4,165.50 and 1,621.93

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Solution

The fourth proportional to 2,776.99, 4,165.50 and 1,621.93 is: 2,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.99 : 4,165.50 = 1,621.93 : x
  2. Step 2: Convert to fraction form
    2,776.99/4,165.50 = 1,621.93/x
  3. Step 3: Cross multiply
    2,776.99x = 4,165.50 × 1,621.93
  4. Step 4: Simplify right side
    2,776.99x = 6,756,149.42
  5. Step 5: Solve for x
    x = 6,756,149.42/2,776.99
  6. Step 6: Final answer
    x = 2,432.90

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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.