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Finding the Fourth Proportional to 14,819.10, 20,456.01 and 10,109.76

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Solution

The fourth proportional to 14,819.10, 20,456.01 and 10,109.76 is: 13,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.10 : 20,456.01 = 10,109.76 : x
  2. Step 2: Convert to fraction form
    14,819.10/20,456.01 = 10,109.76/x
  3. Step 3: Cross multiply
    14,819.10x = 20,456.01 × 10,109.76
  4. Step 4: Simplify right side
    14,819.10x = 206,805,351.66
  5. Step 5: Solve for x
    x = 206,805,351.66/14,819.10
  6. Step 6: Final answer
    x = 13,955.32

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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.