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Finding the Fourth Proportional to 12,309.88, 18,445.86 and 8,356

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Solution

The fourth proportional to 12,309.88, 18,445.86 and 8,356 is: 12,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.88 : 18,445.86 = 8,356 : x
  2. Step 2: Convert to fraction form
    12,309.88/18,445.86 = 8,356/x
  3. Step 3: Cross multiply
    12,309.88x = 18,445.86 × 8,356
  4. Step 4: Simplify right side
    12,309.88x = 154,133,606.16
  5. Step 5: Solve for x
    x = 154,133,606.16/12,309.88
  6. Step 6: Final answer
    x = 12,521.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.