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Finding the Fourth Proportional to 2,777.88, 4,162.02 and 1,475.40

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Solution

The fourth proportional to 2,777.88, 4,162.02 and 1,475.40 is: 2,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.88 : 4,162.02 = 1,475.40 : x
  2. Step 2: Convert to fraction form
    2,777.88/4,162.02 = 1,475.40/x
  3. Step 3: Cross multiply
    2,777.88x = 4,162.02 × 1,475.40
  4. Step 4: Simplify right side
    2,777.88x = 6,140,644.31
  5. Step 5: Solve for x
    x = 6,140,644.31/2,777.88
  6. Step 6: Final answer
    x = 2,210.55

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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.