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Finding the Fourth Proportional to 22,649.42, 31,257 and 12,578.02

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Solution

The fourth proportional to 22,649.42, 31,257 and 12,578.02 is: 17,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.42 : 31,257 = 12,578.02 : x
  2. Step 2: Convert to fraction form
    22,649.42/31,257 = 12,578.02/x
  3. Step 3: Cross multiply
    22,649.42x = 31,257 × 12,578.02
  4. Step 4: Simplify right side
    22,649.42x = 393,151,171.14
  5. Step 5: Solve for x
    x = 393,151,171.14/22,649.42
  6. Step 6: Final answer
    x = 17,358.11

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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.