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Finding the Fourth Proportional to 2,277.24, 3,416.22 and 978.72

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Solution

The fourth proportional to 2,277.24, 3,416.22 and 978.72 is: 1,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.24 : 3,416.22 = 978.72 : x
  2. Step 2: Convert to fraction form
    2,277.24/3,416.22 = 978.72/x
  3. Step 3: Cross multiply
    2,277.24x = 3,416.22 × 978.72
  4. Step 4: Simplify right side
    2,277.24x = 3,343,522.84
  5. Step 5: Solve for x
    x = 3,343,522.84/2,277.24
  6. Step 6: Final answer
    x = 1,468.23

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