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Finding the Fourth Proportional to 11,361, 15,678.36 and 6,648.60

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Solution

The fourth proportional to 11,361, 15,678.36 and 6,648.60 is: 9,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361 : 15,678.36 = 6,648.60 : x
  2. Step 2: Convert to fraction form
    11,361/15,678.36 = 6,648.60/x
  3. Step 3: Cross multiply
    11,361x = 15,678.36 × 6,648.60
  4. Step 4: Simplify right side
    11,361x = 104,239,144.30
  5. Step 5: Solve for x
    x = 104,239,144.30/11,361
  6. Step 6: Final answer
    x = 9,175.17

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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.