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Finding the Fourth Proportional to 14,938, 22,407 and 4,549.75

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Solution

The fourth proportional to 14,938, 22,407 and 4,549.75 is: 6,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938 : 22,407 = 4,549.75 : x
  2. Step 2: Convert to fraction form
    14,938/22,407 = 4,549.75/x
  3. Step 3: Cross multiply
    14,938x = 22,407 × 4,549.75
  4. Step 4: Simplify right side
    14,938x = 101,946,248.25
  5. Step 5: Solve for x
    x = 101,946,248.25/14,938
  6. Step 6: Final answer
    x = 6,824.63

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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.