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Finding the Fourth Proportional to 12,386, 17,094.84 and 7,418

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Solution

The fourth proportional to 12,386, 17,094.84 and 7,418 is: 10,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386 : 17,094.84 = 7,418 : x
  2. Step 2: Convert to fraction form
    12,386/17,094.84 = 7,418/x
  3. Step 3: Cross multiply
    12,386x = 17,094.84 × 7,418
  4. Step 4: Simplify right side
    12,386x = 126,809,523.12
  5. Step 5: Solve for x
    x = 126,809,523.12/12,386
  6. Step 6: Final answer
    x = 10,238.13

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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.