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Finding the Fourth Proportional to 10,859.90, 14,986.22 and 6,144.26

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Solution

The fourth proportional to 10,859.90, 14,986.22 and 6,144.26 is: 8,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.90 : 14,986.22 = 6,144.26 : x
  2. Step 2: Convert to fraction form
    10,859.90/14,986.22 = 6,144.26/x
  3. Step 3: Cross multiply
    10,859.90x = 14,986.22 × 6,144.26
  4. Step 4: Simplify right side
    10,859.90x = 92,079,126.44
  5. Step 5: Solve for x
    x = 92,079,126.44/10,859.90
  6. Step 6: Final answer
    x = 8,478.82

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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.