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Finding the Fourth Proportional to 2,827.58, 4,242 and 978.72

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Solution

The fourth proportional to 2,827.58, 4,242 and 978.72 is: 1,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.58 : 4,242 = 978.72 : x
  2. Step 2: Convert to fraction form
    2,827.58/4,242 = 978.72/x
  3. Step 3: Cross multiply
    2,827.58x = 4,242 × 978.72
  4. Step 4: Simplify right side
    2,827.58x = 4,151,730.24
  5. Step 5: Solve for x
    x = 4,151,730.24/2,827.58
  6. Step 6: Final answer
    x = 1,468.30

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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.