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Finding the Fourth Proportional to 21,257.90, 31,885.60 and 8,111.60

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Solution

The fourth proportional to 21,257.90, 31,885.60 and 8,111.60 is: 12,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.90 : 31,885.60 = 8,111.60 : x
  2. Step 2: Convert to fraction form
    21,257.90/31,885.60 = 8,111.60/x
  3. Step 3: Cross multiply
    21,257.90x = 31,885.60 × 8,111.60
  4. Step 4: Simplify right side
    21,257.90x = 258,643,232.96
  5. Step 5: Solve for x
    x = 258,643,232.96/21,257.90
  6. Step 6: Final answer
    x = 12,166.92

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1.5x scale

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.