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Finding the Fourth Proportional to 39,904, 59,856 and 10,720

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Solution

The fourth proportional to 39,904, 59,856 and 10,720 is: 16,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,904 : 59,856 = 10,720 : x
  2. Step 2: Convert to fraction form
    39,904/59,856 = 10,720/x
  3. Step 3: Cross multiply
    39,904x = 59,856 × 10,720
  4. Step 4: Simplify right side
    39,904x = 641,656,320
  5. Step 5: Solve for x
    x = 641,656,320/39,904
  6. Step 6: Final answer
    x = 16,080

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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.