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Finding the Fourth Proportional to 5,277.42, 7,914.78 and 1,989.54

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Solution

The fourth proportional to 5,277.42, 7,914.78 and 1,989.54 is: 2,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.42 : 7,914.78 = 1,989.54 : x
  2. Step 2: Convert to fraction form
    5,277.42/7,914.78 = 1,989.54/x
  3. Step 3: Cross multiply
    5,277.42x = 7,914.78 × 1,989.54
  4. Step 4: Simplify right side
    5,277.42x = 15,746,771.40
  5. Step 5: Solve for x
    x = 15,746,771.40/5,277.42
  6. Step 6: Final answer
    x = 2,983.80

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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.