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Finding the Fourth Proportional to 11,297, 15,590.10 and 6,329

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Solution

The fourth proportional to 11,297, 15,590.10 and 6,329 is: 8,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 15,590.10 = 6,329 : x
  2. Step 2: Convert to fraction form
    11,297/15,590.10 = 6,329/x
  3. Step 3: Cross multiply
    11,297x = 15,590.10 × 6,329
  4. Step 4: Simplify right side
    11,297x = 98,669,742.90
  5. Step 5: Solve for x
    x = 98,669,742.90/11,297
  6. Step 6: Final answer
    x = 8,734.15

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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.