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Finding the Fourth Proportional to 5,277.74, 7,914.36 and 2,155.64

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Solution

The fourth proportional to 5,277.74, 7,914.36 and 2,155.64 is: 3,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.74 : 7,914.36 = 2,155.64 : x
  2. Step 2: Convert to fraction form
    5,277.74/7,914.36 = 2,155.64/x
  3. Step 3: Cross multiply
    5,277.74x = 7,914.36 × 2,155.64
  4. Step 4: Simplify right side
    5,277.74x = 17,060,510.99
  5. Step 5: Solve for x
    x = 17,060,510.99/5,277.74
  6. Step 6: Final answer
    x = 3,232.54

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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.