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Finding the Fourth Proportional to 1,855.90, 2,784.67 and 978.19

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Solution

The fourth proportional to 1,855.90, 2,784.67 and 978.19 is: 1,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.90 : 2,784.67 = 978.19 : x
  2. Step 2: Convert to fraction form
    1,855.90/2,784.67 = 978.19/x
  3. Step 3: Cross multiply
    1,855.90x = 2,784.67 × 978.19
  4. Step 4: Simplify right side
    1,855.90x = 2,723,936.35
  5. Step 5: Solve for x
    x = 2,723,936.35/1,855.90
  6. Step 6: Final answer
    x = 1,467.72

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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.