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Finding the Fourth Proportional to 22,647.72, 31,252.80 and 12,576.80

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Solution

The fourth proportional to 22,647.72, 31,252.80 and 12,576.80 is: 17,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.72 : 31,252.80 = 12,576.80 : x
  2. Step 2: Convert to fraction form
    22,647.72/31,252.80 = 12,576.80/x
  3. Step 3: Cross multiply
    22,647.72x = 31,252.80 × 12,576.80
  4. Step 4: Simplify right side
    22,647.72x = 393,060,340.34
  5. Step 5: Solve for x
    x = 393,060,340.34/22,647.72
  6. Step 6: Final answer
    x = 17,355.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.