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Finding the Fourth Proportional to 11,465.88, 15,822 and 6,429.42

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Solution

The fourth proportional to 11,465.88, 15,822 and 6,429.42 is: 8,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 15,822 = 6,429.42 : x
  2. Step 2: Convert to fraction form
    11,465.88/15,822 = 6,429.42/x
  3. Step 3: Cross multiply
    11,465.88x = 15,822 × 6,429.42
  4. Step 4: Simplify right side
    11,465.88x = 101,726,283.24
  5. Step 5: Solve for x
    x = 101,726,283.24/11,465.88
  6. Step 6: Final answer
    x = 8,872.09

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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.