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Finding the Fourth Proportional to 2,753.16, 4,129.63 and 778.80

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Solution

The fourth proportional to 2,753.16, 4,129.63 and 778.80 is: 1,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.16 : 4,129.63 = 778.80 : x
  2. Step 2: Convert to fraction form
    2,753.16/4,129.63 = 778.80/x
  3. Step 3: Cross multiply
    2,753.16x = 4,129.63 × 778.80
  4. Step 4: Simplify right side
    2,753.16x = 3,216,150.53
  5. Step 5: Solve for x
    x = 3,216,150.53/2,753.16
  6. Step 6: Final answer
    x = 1,168.17

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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.