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Finding the Fourth Proportional to 2,276.68, 3,416.56 and 978.26

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Solution

The fourth proportional to 2,276.68, 3,416.56 and 978.26 is: 1,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.68 : 3,416.56 = 978.26 : x
  2. Step 2: Convert to fraction form
    2,276.68/3,416.56 = 978.26/x
  3. Step 3: Cross multiply
    2,276.68x = 3,416.56 × 978.26
  4. Step 4: Simplify right side
    2,276.68x = 3,342,283.99
  5. Step 5: Solve for x
    x = 3,342,283.99/2,276.68
  6. Step 6: Final answer
    x = 1,468.05

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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.