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Finding the Fourth Proportional to 11,432.99, 15,776.66 and 6,396.28

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Solution

The fourth proportional to 11,432.99, 15,776.66 and 6,396.28 is: 8,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.99 : 15,776.66 = 6,396.28 : x
  2. Step 2: Convert to fraction form
    11,432.99/15,776.66 = 6,396.28/x
  3. Step 3: Cross multiply
    11,432.99x = 15,776.66 × 6,396.28
  4. Step 4: Simplify right side
    11,432.99x = 100,911,863.40
  5. Step 5: Solve for x
    x = 100,911,863.40/11,432.99
  6. Step 6: Final answer
    x = 8,826.38

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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.