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Finding the Fourth Proportional to 14,708.76, 20,299.86 and 8,421

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Solution

The fourth proportional to 14,708.76, 20,299.86 and 8,421 is: 11,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.76 : 20,299.86 = 8,421 : x
  2. Step 2: Convert to fraction form
    14,708.76/20,299.86 = 8,421/x
  3. Step 3: Cross multiply
    14,708.76x = 20,299.86 × 8,421
  4. Step 4: Simplify right side
    14,708.76x = 170,945,121.06
  5. Step 5: Solve for x
    x = 170,945,121.06/14,708.76
  6. Step 6: Final answer
    x = 11,621.99

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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.