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Finding the Fourth Proportional to 13,891.76, 20,820 and 10,003.76

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Solution

The fourth proportional to 13,891.76, 20,820 and 10,003.76 is: 14,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.76 : 20,820 = 10,003.76 : x
  2. Step 2: Convert to fraction form
    13,891.76/20,820 = 10,003.76/x
  3. Step 3: Cross multiply
    13,891.76x = 20,820 × 10,003.76
  4. Step 4: Simplify right side
    13,891.76x = 208,278,283.20
  5. Step 5: Solve for x
    x = 208,278,283.20/13,891.76
  6. Step 6: Final answer
    x = 14,992.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.