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Finding the Fourth Proportional to 11,384.92, 17,055.42 and 6,439.42

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Solution

The fourth proportional to 11,384.92, 17,055.42 and 6,439.42 is: 9,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.92 : 17,055.42 = 6,439.42 : x
  2. Step 2: Convert to fraction form
    11,384.92/17,055.42 = 6,439.42/x
  3. Step 3: Cross multiply
    11,384.92x = 17,055.42 × 6,439.42
  4. Step 4: Simplify right side
    11,384.92x = 109,827,012.66
  5. Step 5: Solve for x
    x = 109,827,012.66/11,384.92
  6. Step 6: Final answer
    x = 9,646.71

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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.