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Finding the Fourth Proportional to 3,469.80, 4,788.40 and 1,977.58

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Solution

The fourth proportional to 3,469.80, 4,788.40 and 1,977.58 is: 2,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.80 : 4,788.40 = 1,977.58 : x
  2. Step 2: Convert to fraction form
    3,469.80/4,788.40 = 1,977.58/x
  3. Step 3: Cross multiply
    3,469.80x = 4,788.40 × 1,977.58
  4. Step 4: Simplify right side
    3,469.80x = 9,469,420.13
  5. Step 5: Solve for x
    x = 9,469,420.13/3,469.80
  6. Step 6: Final answer
    x = 2,729.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.