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Finding the Fourth Proportional to 14,421, 21,620.97 and 9,729.35

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Solution

The fourth proportional to 14,421, 21,620.97 and 9,729.35 is: 14,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 21,620.97 = 9,729.35 : x
  2. Step 2: Convert to fraction form
    14,421/21,620.97 = 9,729.35/x
  3. Step 3: Cross multiply
    14,421x = 21,620.97 × 9,729.35
  4. Step 4: Simplify right side
    14,421x = 210,357,876.36
  5. Step 5: Solve for x
    x = 210,357,876.36/14,421
  6. Step 6: Final answer
    x = 14,586.91

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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.