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Finding the Fourth Proportional to 1,930.48, 2,880.07 and 1,771.90

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Solution

The fourth proportional to 1,930.48, 2,880.07 and 1,771.90 is: 2,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.48 : 2,880.07 = 1,771.90 : x
  2. Step 2: Convert to fraction form
    1,930.48/2,880.07 = 1,771.90/x
  3. Step 3: Cross multiply
    1,930.48x = 2,880.07 × 1,771.90
  4. Step 4: Simplify right side
    1,930.48x = 5,103,196.03
  5. Step 5: Solve for x
    x = 5,103,196.03/1,930.48
  6. Step 6: Final answer
    x = 2,643.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.