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Finding the Fourth Proportional to 13,963, 20,948.28 and 4,729

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Solution

The fourth proportional to 13,963, 20,948.28 and 4,729 is: 7,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963 : 20,948.28 = 4,729 : x
  2. Step 2: Convert to fraction form
    13,963/20,948.28 = 4,729/x
  3. Step 3: Cross multiply
    13,963x = 20,948.28 × 4,729
  4. Step 4: Simplify right side
    13,963x = 99,064,416.12
  5. Step 5: Solve for x
    x = 99,064,416.12/13,963
  6. Step 6: Final answer
    x = 7,094.78

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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.