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Finding the Fourth Proportional to 2,010.68, 3,015.20 and 777.40

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Solution

The fourth proportional to 2,010.68, 3,015.20 and 777.40 is: 1,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.68 : 3,015.20 = 777.40 : x
  2. Step 2: Convert to fraction form
    2,010.68/3,015.20 = 777.40/x
  3. Step 3: Cross multiply
    2,010.68x = 3,015.20 × 777.40
  4. Step 4: Simplify right side
    2,010.68x = 2,344,016.48
  5. Step 5: Solve for x
    x = 2,344,016.48/2,010.68
  6. Step 6: Final answer
    x = 1,165.78

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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.