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Finding the Fourth Proportional to 11,981.76, 16,540.74 and 9,287.04

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Solution

The fourth proportional to 11,981.76, 16,540.74 and 9,287.04 is: 12,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.76 : 16,540.74 = 9,287.04 : x
  2. Step 2: Convert to fraction form
    11,981.76/16,540.74 = 9,287.04/x
  3. Step 3: Cross multiply
    11,981.76x = 16,540.74 × 9,287.04
  4. Step 4: Simplify right side
    11,981.76x = 153,614,514.01
  5. Step 5: Solve for x
    x = 153,614,514.01/11,981.76
  6. Step 6: Final answer
    x = 12,820.70

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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.