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Finding the Fourth Proportional to 9,708.26, 13,366.70 and 8,821.41

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Solution

The fourth proportional to 9,708.26, 13,366.70 and 8,821.41 is: 12,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.26 : 13,366.70 = 8,821.41 : x
  2. Step 2: Convert to fraction form
    9,708.26/13,366.70 = 8,821.41/x
  3. Step 3: Cross multiply
    9,708.26x = 13,366.70 × 8,821.41
  4. Step 4: Simplify right side
    9,708.26x = 117,913,129.52
  5. Step 5: Solve for x
    x = 117,913,129.52/9,708.26
  6. Step 6: Final answer
    x = 12,145.66

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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.