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Finding the Fourth Proportional to 15,674.86, 21,631.30 and 8,960.63

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Solution

The fourth proportional to 15,674.86, 21,631.30 and 8,960.63 is: 12,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.86 : 21,631.30 = 8,960.63 : x
  2. Step 2: Convert to fraction form
    15,674.86/21,631.30 = 8,960.63/x
  3. Step 3: Cross multiply
    15,674.86x = 21,631.30 × 8,960.63
  4. Step 4: Simplify right side
    15,674.86x = 193,829,945.16
  5. Step 5: Solve for x
    x = 193,829,945.16/15,674.86
  6. Step 6: Final answer
    x = 12,365.66

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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.