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Finding the Fourth Proportional to 2,577.84, 3,555 and 1,694.40

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Solution

The fourth proportional to 2,577.84, 3,555 and 1,694.40 is: 2,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.84 : 3,555 = 1,694.40 : x
  2. Step 2: Convert to fraction form
    2,577.84/3,555 = 1,694.40/x
  3. Step 3: Cross multiply
    2,577.84x = 3,555 × 1,694.40
  4. Step 4: Simplify right side
    2,577.84x = 6,023,592
  5. Step 5: Solve for x
    x = 6,023,592/2,577.84
  6. Step 6: Final answer
    x = 2,336.68

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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.