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Finding the Fourth Proportional to 11,223, 15,487.62 and 6,187.42

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Solution

The fourth proportional to 11,223, 15,487.62 and 6,187.42 is: 8,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 15,487.62 = 6,187.42 : x
  2. Step 2: Convert to fraction form
    11,223/15,487.62 = 6,187.42/x
  3. Step 3: Cross multiply
    11,223x = 15,487.62 × 6,187.42
  4. Step 4: Simplify right side
    11,223x = 95,828,409.74
  5. Step 5: Solve for x
    x = 95,828,409.74/11,223
  6. Step 6: Final answer
    x = 8,538.57

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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.