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Finding the Fourth Proportional to 10,859.86, 14,986.49 and 6,079.84

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Solution

The fourth proportional to 10,859.86, 14,986.49 and 6,079.84 is: 8,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.86 : 14,986.49 = 6,079.84 : x
  2. Step 2: Convert to fraction form
    10,859.86/14,986.49 = 6,079.84/x
  3. Step 3: Cross multiply
    10,859.86x = 14,986.49 × 6,079.84
  4. Step 4: Simplify right side
    10,859.86x = 91,115,477.80
  5. Step 5: Solve for x
    x = 91,115,477.80/10,859.86
  6. Step 6: Final answer
    x = 8,390.12

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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.