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Finding the Fourth Proportional to 2,077.74, 3,114.99 and 778.50

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Solution

The fourth proportional to 2,077.74, 3,114.99 and 778.50 is: 1,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.74 : 3,114.99 = 778.50 : x
  2. Step 2: Convert to fraction form
    2,077.74/3,114.99 = 778.50/x
  3. Step 3: Cross multiply
    2,077.74x = 3,114.99 × 778.50
  4. Step 4: Simplify right side
    2,077.74x = 2,425,019.72
  5. Step 5: Solve for x
    x = 2,425,019.72/2,077.74
  6. Step 6: Final answer
    x = 1,167.14

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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.