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Finding the Fourth Proportional to 11,362.30, 15,678.93 and 8,379.78

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Solution

The fourth proportional to 11,362.30, 15,678.93 and 8,379.78 is: 11,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.30 : 15,678.93 = 8,379.78 : x
  2. Step 2: Convert to fraction form
    11,362.30/15,678.93 = 8,379.78/x
  3. Step 3: Cross multiply
    11,362.30x = 15,678.93 × 8,379.78
  4. Step 4: Simplify right side
    11,362.30x = 131,385,984.04
  5. Step 5: Solve for x
    x = 131,385,984.04/11,362.30
  6. Step 6: Final answer
    x = 11,563.33

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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.