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Finding the Fourth Proportional to 21,908.64, 32,856 and 7,114.14

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Solution

The fourth proportional to 21,908.64, 32,856 and 7,114.14 is: 10,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.64 : 32,856 = 7,114.14 : x
  2. Step 2: Convert to fraction form
    21,908.64/32,856 = 7,114.14/x
  3. Step 3: Cross multiply
    21,908.64x = 32,856 × 7,114.14
  4. Step 4: Simplify right side
    21,908.64x = 233,742,183.84
  5. Step 5: Solve for x
    x = 233,742,183.84/21,908.64
  6. Step 6: Final answer
    x = 10,668.95

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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.