Home / 1,977.62-2,732.40-1,561.16

Finding the Fourth Proportional to 1,977.62, 2,732.40 and 1,561.16

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Solution

The fourth proportional to 1,977.62, 2,732.40 and 1,561.16 is: 2,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.62 : 2,732.40 = 1,561.16 : x
  2. Step 2: Convert to fraction form
    1,977.62/2,732.40 = 1,561.16/x
  3. Step 3: Cross multiply
    1,977.62x = 2,732.40 × 1,561.16
  4. Step 4: Simplify right side
    1,977.62x = 4,265,705.05
  5. Step 5: Solve for x
    x = 4,265,705.05/1,977.62
  6. Step 6: Final answer
    x = 2,156.99

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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.