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Finding the Fourth Proportional to 23,936, 35,909.76 and 7,520

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Solution

The fourth proportional to 23,936, 35,909.76 and 7,520 is: 11,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936 : 35,909.76 = 7,520 : x
  2. Step 2: Convert to fraction form
    23,936/35,909.76 = 7,520/x
  3. Step 3: Cross multiply
    23,936x = 35,909.76 × 7,520
  4. Step 4: Simplify right side
    23,936x = 270,041,395.20
  5. Step 5: Solve for x
    x = 270,041,395.20/23,936
  6. Step 6: Final answer
    x = 11,281.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.