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Finding the Fourth Proportional to 39,478, 59,204.16 and 13,175.68

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Solution

The fourth proportional to 39,478, 59,204.16 and 13,175.68 is: 19,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,478 : 59,204.16 = 13,175.68 : x
  2. Step 2: Convert to fraction form
    39,478/59,204.16 = 13,175.68/x
  3. Step 3: Cross multiply
    39,478x = 59,204.16 × 13,175.68
  4. Step 4: Simplify right side
    39,478x = 780,055,066.83
  5. Step 5: Solve for x
    x = 780,055,066.83/39,478
  6. Step 6: Final answer
    x = 19,759.23

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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.