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Finding the Fourth Proportional to 19,710, 27,199.80 and 13,422.38

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Solution

The fourth proportional to 19,710, 27,199.80 and 13,422.38 is: 18,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 27,199.80 = 13,422.38 : x
  2. Step 2: Convert to fraction form
    19,710/27,199.80 = 13,422.38/x
  3. Step 3: Cross multiply
    19,710x = 27,199.80 × 13,422.38
  4. Step 4: Simplify right side
    19,710x = 365,085,915.53
  5. Step 5: Solve for x
    x = 365,085,915.53/19,710
  6. Step 6: Final answer
    x = 18,522.88

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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.