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Finding the Fourth Proportional to 1,855.42, 2,767.44 and 1,578.40

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Solution

The fourth proportional to 1,855.42, 2,767.44 and 1,578.40 is: 2,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.42 : 2,767.44 = 1,578.40 : x
  2. Step 2: Convert to fraction form
    1,855.42/2,767.44 = 1,578.40/x
  3. Step 3: Cross multiply
    1,855.42x = 2,767.44 × 1,578.40
  4. Step 4: Simplify right side
    1,855.42x = 4,368,127.30
  5. Step 5: Solve for x
    x = 4,368,127.30/1,855.42
  6. Step 6: Final answer
    x = 2,354.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.