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Finding the Fourth Proportional to 2,276.42, 3,416.26 and 978.26

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Solution

The fourth proportional to 2,276.42, 3,416.26 and 978.26 is: 1,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.42 : 3,416.26 = 978.26 : x
  2. Step 2: Convert to fraction form
    2,276.42/3,416.26 = 978.26/x
  3. Step 3: Cross multiply
    2,276.42x = 3,416.26 × 978.26
  4. Step 4: Simplify right side
    2,276.42x = 3,341,990.51
  5. Step 5: Solve for x
    x = 3,341,990.51/2,276.42
  6. Step 6: Final answer
    x = 1,468.09

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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.