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Finding the Fourth Proportional to 13,142.90, 19,721.91 and 7,299.02

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Solution

The fourth proportional to 13,142.90, 19,721.91 and 7,299.02 is: 10,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.90 : 19,721.91 = 7,299.02 : x
  2. Step 2: Convert to fraction form
    13,142.90/19,721.91 = 7,299.02/x
  3. Step 3: Cross multiply
    13,142.90x = 19,721.91 × 7,299.02
  4. Step 4: Simplify right side
    13,142.90x = 143,950,615.53
  5. Step 5: Solve for x
    x = 143,950,615.53/13,142.90
  6. Step 6: Final answer
    x = 10,952.73

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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.