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Finding the Fourth Proportional to 20,840, 31,260.32 and 6,248

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Solution

The fourth proportional to 20,840, 31,260.32 and 6,248 is: 9,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 31,260.32 = 6,248 : x
  2. Step 2: Convert to fraction form
    20,840/31,260.32 = 6,248/x
  3. Step 3: Cross multiply
    20,840x = 31,260.32 × 6,248
  4. Step 4: Simplify right side
    20,840x = 195,314,479.36
  5. Step 5: Solve for x
    x = 195,314,479.36/20,840
  6. Step 6: Final answer
    x = 9,372.10

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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.