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Finding the Fourth Proportional to 11,920.48, 16,451.04 and 6,615.31

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Solution

The fourth proportional to 11,920.48, 16,451.04 and 6,615.31 is: 9,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.48 : 16,451.04 = 6,615.31 : x
  2. Step 2: Convert to fraction form
    11,920.48/16,451.04 = 6,615.31/x
  3. Step 3: Cross multiply
    11,920.48x = 16,451.04 × 6,615.31
  4. Step 4: Simplify right side
    11,920.48x = 108,828,729.42
  5. Step 5: Solve for x
    x = 108,828,729.42/11,920.48
  6. Step 6: Final answer
    x = 9,129.56

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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.