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Finding the Fourth Proportional to 14,418, 19,897.04 and 8,130.38

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Solution

The fourth proportional to 14,418, 19,897.04 and 8,130.38 is: 11,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 19,897.04 = 8,130.38 : x
  2. Step 2: Convert to fraction form
    14,418/19,897.04 = 8,130.38/x
  3. Step 3: Cross multiply
    14,418x = 19,897.04 × 8,130.38
  4. Step 4: Simplify right side
    14,418x = 161,770,416.92
  5. Step 5: Solve for x
    x = 161,770,416.92/14,418
  6. Step 6: Final answer
    x = 11,220.03

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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.