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Finding the Fourth Proportional to 11,920.66, 16,449.78 and 6,615.16

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Solution

The fourth proportional to 11,920.66, 16,449.78 and 6,615.16 is: 9,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.66 : 16,449.78 = 6,615.16 : x
  2. Step 2: Convert to fraction form
    11,920.66/16,449.78 = 6,615.16/x
  3. Step 3: Cross multiply
    11,920.66x = 16,449.78 × 6,615.16
  4. Step 4: Simplify right side
    11,920.66x = 108,817,926.66
  5. Step 5: Solve for x
    x = 108,817,926.66/11,920.66
  6. Step 6: Final answer
    x = 9,128.52

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1.5x scale

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.