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Finding the Fourth Proportional to 10,449.72, 15,679.96 and 6,942.14

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Solution

The fourth proportional to 10,449.72, 15,679.96 and 6,942.14 is: 10,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.72 : 15,679.96 = 6,942.14 : x
  2. Step 2: Convert to fraction form
    10,449.72/15,679.96 = 6,942.14/x
  3. Step 3: Cross multiply
    10,449.72x = 15,679.96 × 6,942.14
  4. Step 4: Simplify right side
    10,449.72x = 108,852,477.51
  5. Step 5: Solve for x
    x = 108,852,477.51/10,449.72
  6. Step 6: Final answer
    x = 10,416.78

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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.