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Finding the Fourth Proportional to 15,872.76, 21,898.25 and 10,206.76

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Solution

The fourth proportional to 15,872.76, 21,898.25 and 10,206.76 is: 14,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.76 : 21,898.25 = 10,206.76 : x
  2. Step 2: Convert to fraction form
    15,872.76/21,898.25 = 10,206.76/x
  3. Step 3: Cross multiply
    15,872.76x = 21,898.25 × 10,206.76
  4. Step 4: Simplify right side
    15,872.76x = 223,510,155.73
  5. Step 5: Solve for x
    x = 223,510,155.73/15,872.76
  6. Step 6: Final answer
    x = 14,081.37

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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.