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Finding the Fourth Proportional to 12,827, 17,701.80 and 7,238

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Solution

The fourth proportional to 12,827, 17,701.80 and 7,238 is: 9,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 17,701.80 = 7,238 : x
  2. Step 2: Convert to fraction form
    12,827/17,701.80 = 7,238/x
  3. Step 3: Cross multiply
    12,827x = 17,701.80 × 7,238
  4. Step 4: Simplify right side
    12,827x = 128,125,628.40
  5. Step 5: Solve for x
    x = 128,125,628.40/12,827
  6. Step 6: Final answer
    x = 9,988.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.