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Finding the Fourth Proportional to 15,583.80, 23,375.70 and 7,807.80

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Solution

The fourth proportional to 15,583.80, 23,375.70 and 7,807.80 is: 11,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.80 : 23,375.70 = 7,807.80 : x
  2. Step 2: Convert to fraction form
    15,583.80/23,375.70 = 7,807.80/x
  3. Step 3: Cross multiply
    15,583.80x = 23,375.70 × 7,807.80
  4. Step 4: Simplify right side
    15,583.80x = 182,512,790.46
  5. Step 5: Solve for x
    x = 182,512,790.46/15,583.80
  6. Step 6: Final answer
    x = 11,711.70

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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.