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Finding the Fourth Proportional to 12,387, 17,094.12 and 6,798

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Solution

The fourth proportional to 12,387, 17,094.12 and 6,798 is: 9,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387 : 17,094.12 = 6,798 : x
  2. Step 2: Convert to fraction form
    12,387/17,094.12 = 6,798/x
  3. Step 3: Cross multiply
    12,387x = 17,094.12 × 6,798
  4. Step 4: Simplify right side
    12,387x = 116,205,827.76
  5. Step 5: Solve for x
    x = 116,205,827.76/12,387
  6. Step 6: Final answer
    x = 9,381.27

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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.