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Finding the Fourth Proportional to 12,489, 17,234.88 and 7,184.13

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Solution

The fourth proportional to 12,489, 17,234.88 and 7,184.13 is: 9,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489 : 17,234.88 = 7,184.13 : x
  2. Step 2: Convert to fraction form
    12,489/17,234.88 = 7,184.13/x
  3. Step 3: Cross multiply
    12,489x = 17,234.88 × 7,184.13
  4. Step 4: Simplify right side
    12,489x = 123,817,618.45
  5. Step 5: Solve for x
    x = 123,817,618.45/12,489
  6. Step 6: Final answer
    x = 9,914.13

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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.