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Finding the Fourth Proportional to 11,389.44, 15,718.22 and 6,354

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Solution

The fourth proportional to 11,389.44, 15,718.22 and 6,354 is: 8,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.44 : 15,718.22 = 6,354 : x
  2. Step 2: Convert to fraction form
    11,389.44/15,718.22 = 6,354/x
  3. Step 3: Cross multiply
    11,389.44x = 15,718.22 × 6,354
  4. Step 4: Simplify right side
    11,389.44x = 99,873,569.88
  5. Step 5: Solve for x
    x = 99,873,569.88/11,389.44
  6. Step 6: Final answer
    x = 8,768.96

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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.