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Finding the Fourth Proportional to 12,459, 17,193.42 and 7,491

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Solution

The fourth proportional to 12,459, 17,193.42 and 7,491 is: 10,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459 : 17,193.42 = 7,491 : x
  2. Step 2: Convert to fraction form
    12,459/17,193.42 = 7,491/x
  3. Step 3: Cross multiply
    12,459x = 17,193.42 × 7,491
  4. Step 4: Simplify right side
    12,459x = 128,795,909.22
  5. Step 5: Solve for x
    x = 128,795,909.22/12,459
  6. Step 6: Final answer
    x = 10,337.58

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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.