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Finding the Fourth Proportional to 12,678.98, 17,491.10 and 8,204.18

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Solution

The fourth proportional to 12,678.98, 17,491.10 and 8,204.18 is: 11,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.98 : 17,491.10 = 8,204.18 : x
  2. Step 2: Convert to fraction form
    12,678.98/17,491.10 = 8,204.18/x
  3. Step 3: Cross multiply
    12,678.98x = 17,491.10 × 8,204.18
  4. Step 4: Simplify right side
    12,678.98x = 143,500,116.06
  5. Step 5: Solve for x
    x = 143,500,116.06/12,678.98
  6. Step 6: Final answer
    x = 11,317.95

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1.5x scale

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.