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Finding the Fourth Proportional to 39,893, 59,839.50 and 10,709

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Solution

The fourth proportional to 39,893, 59,839.50 and 10,709 is: 16,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,893 : 59,839.50 = 10,709 : x
  2. Step 2: Convert to fraction form
    39,893/59,839.50 = 10,709/x
  3. Step 3: Cross multiply
    39,893x = 59,839.50 × 10,709
  4. Step 4: Simplify right side
    39,893x = 640,821,205.50
  5. Step 5: Solve for x
    x = 640,821,205.50/39,893
  6. Step 6: Final answer
    x = 16,063.50

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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.