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Finding the Fourth Proportional to 12,602.52, 18,904.52 and 3,838.08

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Solution

The fourth proportional to 12,602.52, 18,904.52 and 3,838.08 is: 5,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.52 : 18,904.52 = 3,838.08 : x
  2. Step 2: Convert to fraction form
    12,602.52/18,904.52 = 3,838.08/x
  3. Step 3: Cross multiply
    12,602.52x = 18,904.52 × 3,838.08
  4. Step 4: Simplify right side
    12,602.52x = 72,557,060.12
  5. Step 5: Solve for x
    x = 72,557,060.12/12,602.52
  6. Step 6: Final answer
    x = 5,757.35

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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.