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Finding the Fourth Proportional to 5,077.77, 7,619.57 and 2,737.77

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Solution

The fourth proportional to 5,077.77, 7,619.57 and 2,737.77 is: 4,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.77 : 7,619.57 = 2,737.77 : x
  2. Step 2: Convert to fraction form
    5,077.77/7,619.57 = 2,737.77/x
  3. Step 3: Cross multiply
    5,077.77x = 7,619.57 × 2,737.77
  4. Step 4: Simplify right side
    5,077.77x = 20,860,598.16
  5. Step 5: Solve for x
    x = 20,860,598.16/5,077.77
  6. Step 6: Final answer
    x = 4,108.22

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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.