Home / 20,684.16-31,032-11,456.64

Finding the Fourth Proportional to 20,684.16, 31,032 and 11,456.64

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Solution

The fourth proportional to 20,684.16, 31,032 and 11,456.64 is: 17,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.16 : 31,032 = 11,456.64 : x
  2. Step 2: Convert to fraction form
    20,684.16/31,032 = 11,456.64/x
  3. Step 3: Cross multiply
    20,684.16x = 31,032 × 11,456.64
  4. Step 4: Simplify right side
    20,684.16x = 355,522,452.48
  5. Step 5: Solve for x
    x = 355,522,452.48/20,684.16
  6. Step 6: Final answer
    x = 17,188.15

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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.