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Finding the Fourth Proportional to 14,474.81, 21,706.68 and 7,897.48

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Solution

The fourth proportional to 14,474.81, 21,706.68 and 7,897.48 is: 11,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.81 : 21,706.68 = 7,897.48 : x
  2. Step 2: Convert to fraction form
    14,474.81/21,706.68 = 7,897.48/x
  3. Step 3: Cross multiply
    14,474.81x = 21,706.68 × 7,897.48
  4. Step 4: Simplify right side
    14,474.81x = 171,428,071.17
  5. Step 5: Solve for x
    x = 171,428,071.17/14,474.81
  6. Step 6: Final answer
    x = 11,843.20

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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.