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Finding the Fourth Proportional to 15,005.76, 20,707.94 and 8,381.76

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Solution

The fourth proportional to 15,005.76, 20,707.94 and 8,381.76 is: 11,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.76 : 20,707.94 = 8,381.76 : x
  2. Step 2: Convert to fraction form
    15,005.76/20,707.94 = 8,381.76/x
  3. Step 3: Cross multiply
    15,005.76x = 20,707.94 × 8,381.76
  4. Step 4: Simplify right side
    15,005.76x = 173,568,983.17
  5. Step 5: Solve for x
    x = 173,568,983.17/15,005.76
  6. Step 6: Final answer
    x = 11,566.82

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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.