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Finding the Fourth Proportional to 14,422, 19,902.42 and 7,798

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Solution

The fourth proportional to 14,422, 19,902.42 and 7,798 is: 10,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422 : 19,902.42 = 7,798 : x
  2. Step 2: Convert to fraction form
    14,422/19,902.42 = 7,798/x
  3. Step 3: Cross multiply
    14,422x = 19,902.42 × 7,798
  4. Step 4: Simplify right side
    14,422x = 155,199,071.16
  5. Step 5: Solve for x
    x = 155,199,071.16/14,422
  6. Step 6: Final answer
    x = 10,761.27

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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.