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Finding the Fourth Proportional to 14,687.68, 21,984.21 and 7,657.69

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Solution

The fourth proportional to 14,687.68, 21,984.21 and 7,657.69 is: 11,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.68 : 21,984.21 = 7,657.69 : x
  2. Step 2: Convert to fraction form
    14,687.68/21,984.21 = 7,657.69/x
  3. Step 3: Cross multiply
    14,687.68x = 21,984.21 × 7,657.69
  4. Step 4: Simplify right side
    14,687.68x = 168,348,251.33
  5. Step 5: Solve for x
    x = 168,348,251.33/14,687.68
  6. Step 6: Final answer
    x = 11,461.87

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1.5x scale

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.