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Finding the Fourth Proportional to 35,436, 53,177.04 and 13,548

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Solution

The fourth proportional to 35,436, 53,177.04 and 13,548 is: 20,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,436 : 53,177.04 = 13,548 : x
  2. Step 2: Convert to fraction form
    35,436/53,177.04 = 13,548/x
  3. Step 3: Cross multiply
    35,436x = 53,177.04 × 13,548
  4. Step 4: Simplify right side
    35,436x = 720,442,537.92
  5. Step 5: Solve for x
    x = 720,442,537.92/35,436
  6. Step 6: Final answer
    x = 20,330.81

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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.