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Finding the Fourth Proportional to 35,438, 53,180.04 and 13,550

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Solution

The fourth proportional to 35,438, 53,180.04 and 13,550 is: 20,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438 : 53,180.04 = 13,550 : x
  2. Step 2: Convert to fraction form
    35,438/53,180.04 = 13,550/x
  3. Step 3: Cross multiply
    35,438x = 53,180.04 × 13,550
  4. Step 4: Simplify right side
    35,438x = 720,589,542
  5. Step 5: Solve for x
    x = 720,589,542/35,438
  6. Step 6: Final answer
    x = 20,333.81

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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.