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Finding the Fourth Proportional to 9,860.86, 13,611 and 6,085.18

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Solution

The fourth proportional to 9,860.86, 13,611 and 6,085.18 is: 8,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.86 : 13,611 = 6,085.18 : x
  2. Step 2: Convert to fraction form
    9,860.86/13,611 = 6,085.18/x
  3. Step 3: Cross multiply
    9,860.86x = 13,611 × 6,085.18
  4. Step 4: Simplify right side
    9,860.86x = 82,825,384.98
  5. Step 5: Solve for x
    x = 82,825,384.98/9,860.86
  6. Step 6: Final answer
    x = 8,399.41

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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.