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Finding the Fourth Proportional to 20,874.64, 31,292.16 and 7,718.08

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Solution

The fourth proportional to 20,874.64, 31,292.16 and 7,718.08 is: 11,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.64 : 31,292.16 = 7,718.08 : x
  2. Step 2: Convert to fraction form
    20,874.64/31,292.16 = 7,718.08/x
  3. Step 3: Cross multiply
    20,874.64x = 31,292.16 × 7,718.08
  4. Step 4: Simplify right side
    20,874.64x = 241,515,394.25
  5. Step 5: Solve for x
    x = 241,515,394.25/20,874.64
  6. Step 6: Final answer
    x = 11,569.80

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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.