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Finding the Fourth Proportional to 12,371, 17,072.04 and 7,403

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Solution

The fourth proportional to 12,371, 17,072.04 and 7,403 is: 10,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 17,072.04 = 7,403 : x
  2. Step 2: Convert to fraction form
    12,371/17,072.04 = 7,403/x
  3. Step 3: Cross multiply
    12,371x = 17,072.04 × 7,403
  4. Step 4: Simplify right side
    12,371x = 126,384,312.12
  5. Step 5: Solve for x
    x = 126,384,312.12/12,371
  6. Step 6: Final answer
    x = 10,216.18

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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.