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Finding the Fourth Proportional to 11,820.80, 16,309.76 and 7,624

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Solution

The fourth proportional to 11,820.80, 16,309.76 and 7,624 is: 10,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.80 : 16,309.76 = 7,624 : x
  2. Step 2: Convert to fraction form
    11,820.80/16,309.76 = 7,624/x
  3. Step 3: Cross multiply
    11,820.80x = 16,309.76 × 7,624
  4. Step 4: Simplify right side
    11,820.80x = 124,345,610.24
  5. Step 5: Solve for x
    x = 124,345,610.24/11,820.80
  6. Step 6: Final answer
    x = 10,519.22

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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.