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Finding the Fourth Proportional to 2,758.72, 3,809.28 and 1,877.44

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Solution

The fourth proportional to 2,758.72, 3,809.28 and 1,877.44 is: 2,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.72 : 3,809.28 = 1,877.44 : x
  2. Step 2: Convert to fraction form
    2,758.72/3,809.28 = 1,877.44/x
  3. Step 3: Cross multiply
    2,758.72x = 3,809.28 × 1,877.44
  4. Step 4: Simplify right side
    2,758.72x = 7,151,694.64
  5. Step 5: Solve for x
    x = 7,151,694.64/2,758.72
  6. Step 6: Final answer
    x = 2,592.40

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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.