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Finding the Fourth Proportional to 2,827.66, 4,240.58 and 978.74

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Solution

The fourth proportional to 2,827.66, 4,240.58 and 978.74 is: 1,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.66 : 4,240.58 = 978.74 : x
  2. Step 2: Convert to fraction form
    2,827.66/4,240.58 = 978.74/x
  3. Step 3: Cross multiply
    2,827.66x = 4,240.58 × 978.74
  4. Step 4: Simplify right side
    2,827.66x = 4,150,425.27
  5. Step 5: Solve for x
    x = 4,150,425.27/2,827.66
  6. Step 6: Final answer
    x = 1,467.80

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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.