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Finding the Fourth Proportional to 2,277.39, 3,416.10 and 978.87

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Solution

The fourth proportional to 2,277.39, 3,416.10 and 978.87 is: 1,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.39 : 3,416.10 = 978.87 : x
  2. Step 2: Convert to fraction form
    2,277.39/3,416.10 = 978.87/x
  3. Step 3: Cross multiply
    2,277.39x = 3,416.10 × 978.87
  4. Step 4: Simplify right side
    2,277.39x = 3,343,917.81
  5. Step 5: Solve for x
    x = 3,343,917.81/2,277.39
  6. Step 6: Final answer
    x = 1,468.31

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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.