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Finding the Fourth Proportional to 11,504, 15,869.04 and 7,524.20

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Solution

The fourth proportional to 11,504, 15,869.04 and 7,524.20 is: 10,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 15,869.04 = 7,524.20 : x
  2. Step 2: Convert to fraction form
    11,504/15,869.04 = 7,524.20/x
  3. Step 3: Cross multiply
    11,504x = 15,869.04 × 7,524.20
  4. Step 4: Simplify right side
    11,504x = 119,401,830.77
  5. Step 5: Solve for x
    x = 119,401,830.77/11,504
  6. Step 6: Final answer
    x = 10,379.16

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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.