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Finding the Fourth Proportional to 12,456.66, 17,188.40 and 7,739.22

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Solution

The fourth proportional to 12,456.66, 17,188.40 and 7,739.22 is: 10,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.66 : 17,188.40 = 7,739.22 : x
  2. Step 2: Convert to fraction form
    12,456.66/17,188.40 = 7,739.22/x
  3. Step 3: Cross multiply
    12,456.66x = 17,188.40 × 7,739.22
  4. Step 4: Simplify right side
    12,456.66x = 133,024,809.05
  5. Step 5: Solve for x
    x = 133,024,809.05/12,456.66
  6. Step 6: Final answer
    x = 10,679.01

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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.