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Finding the Fourth Proportional to 11,416, 15,754.32 and 6,448

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Solution

The fourth proportional to 11,416, 15,754.32 and 6,448 is: 8,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 15,754.32 = 6,448 : x
  2. Step 2: Convert to fraction form
    11,416/15,754.32 = 6,448/x
  3. Step 3: Cross multiply
    11,416x = 15,754.32 × 6,448
  4. Step 4: Simplify right side
    11,416x = 101,583,855.36
  5. Step 5: Solve for x
    x = 101,583,855.36/11,416
  6. Step 6: Final answer
    x = 8,898.38

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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.