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Finding the Fourth Proportional to 22,710.78, 31,347.81 and 14,644.44

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Solution

The fourth proportional to 22,710.78, 31,347.81 and 14,644.44 is: 20,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.78 : 31,347.81 = 14,644.44 : x
  2. Step 2: Convert to fraction form
    22,710.78/31,347.81 = 14,644.44/x
  3. Step 3: Cross multiply
    22,710.78x = 31,347.81 × 14,644.44
  4. Step 4: Simplify right side
    22,710.78x = 459,071,122.68
  5. Step 5: Solve for x
    x = 459,071,122.68/22,710.78
  6. Step 6: Final answer
    x = 20,213.80

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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.