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Finding the Fourth Proportional to 14,189.82, 19,581.75 and 7,902.20

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Solution

The fourth proportional to 14,189.82, 19,581.75 and 7,902.20 is: 10,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.82 : 19,581.75 = 7,902.20 : x
  2. Step 2: Convert to fraction form
    14,189.82/19,581.75 = 7,902.20/x
  3. Step 3: Cross multiply
    14,189.82x = 19,581.75 × 7,902.20
  4. Step 4: Simplify right side
    14,189.82x = 154,738,806.94
  5. Step 5: Solve for x
    x = 154,738,806.94/14,189.82
  6. Step 6: Final answer
    x = 10,904.92

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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.