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Finding the Fourth Proportional to 22,649.91, 31,257.28 and 12,579.28

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Solution

The fourth proportional to 22,649.91, 31,257.28 and 12,579.28 is: 17,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.91 : 31,257.28 = 12,579.28 : x
  2. Step 2: Convert to fraction form
    22,649.91/31,257.28 = 12,579.28/x
  3. Step 3: Cross multiply
    22,649.91x = 31,257.28 × 12,579.28
  4. Step 4: Simplify right side
    22,649.91x = 393,194,014.74
  5. Step 5: Solve for x
    x = 393,194,014.74/22,649.91
  6. Step 6: Final answer
    x = 17,359.63

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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.