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Finding the Fourth Proportional to 10,387.88, 15,583.98 and 3,813.80

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Solution

The fourth proportional to 10,387.88, 15,583.98 and 3,813.80 is: 5,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.88 : 15,583.98 = 3,813.80 : x
  2. Step 2: Convert to fraction form
    10,387.88/15,583.98 = 3,813.80/x
  3. Step 3: Cross multiply
    10,387.88x = 15,583.98 × 3,813.80
  4. Step 4: Simplify right side
    10,387.88x = 59,434,182.92
  5. Step 5: Solve for x
    x = 59,434,182.92/10,387.88
  6. Step 6: Final answer
    x = 5,721.49

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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.