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Finding the Fourth Proportional to 14,721.01, 20,314.70 and 8,006.50

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Solution

The fourth proportional to 14,721.01, 20,314.70 and 8,006.50 is: 11,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.01 : 20,314.70 = 8,006.50 : x
  2. Step 2: Convert to fraction form
    14,721.01/20,314.70 = 8,006.50/x
  3. Step 3: Cross multiply
    14,721.01x = 20,314.70 × 8,006.50
  4. Step 4: Simplify right side
    14,721.01x = 162,649,605.52
  5. Step 5: Solve for x
    x = 162,649,605.52/14,721.01
  6. Step 6: Final answer
    x = 11,048.81

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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.