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Finding the Fourth Proportional to 2,777.10, 4,165.54 and 696.95

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Solution

The fourth proportional to 2,777.10, 4,165.54 and 696.95 is: 1,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.10 : 4,165.54 = 696.95 : x
  2. Step 2: Convert to fraction form
    2,777.10/4,165.54 = 696.95/x
  3. Step 3: Cross multiply
    2,777.10x = 4,165.54 × 696.95
  4. Step 4: Simplify right side
    2,777.10x = 2,903,150.53
  5. Step 5: Solve for x
    x = 2,903,150.53/2,777.10
  6. Step 6: Final answer
    x = 1,045.39

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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.