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Finding the Fourth Proportional to 1,977.62, 2,965.86 and 591.02

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Solution

The fourth proportional to 1,977.62, 2,965.86 and 591.02 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.62 : 2,965.86 = 591.02 : x
  2. Step 2: Convert to fraction form
    1,977.62/2,965.86 = 591.02/x
  3. Step 3: Cross multiply
    1,977.62x = 2,965.86 × 591.02
  4. Step 4: Simplify right side
    1,977.62x = 1,752,882.58
  5. Step 5: Solve for x
    x = 1,752,882.58/1,977.62
  6. Step 6: Final answer
    x = 886.36

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1.5x scale

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.