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Finding the Fourth Proportional to 2,777.70, 4,162.80 and 1,021.02

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Solution

The fourth proportional to 2,777.70, 4,162.80 and 1,021.02 is: 1,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.70 : 4,162.80 = 1,021.02 : x
  2. Step 2: Convert to fraction form
    2,777.70/4,162.80 = 1,021.02/x
  3. Step 3: Cross multiply
    2,777.70x = 4,162.80 × 1,021.02
  4. Step 4: Simplify right side
    2,777.70x = 4,250,302.06
  5. Step 5: Solve for x
    x = 4,250,302.06/2,777.70
  6. Step 6: Final answer
    x = 1,530.15

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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.