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Finding the Fourth Proportional to 9,391.64, 14,062.41 and 7,755.44

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Solution

The fourth proportional to 9,391.64, 14,062.41 and 7,755.44 is: 11,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.64 : 14,062.41 = 7,755.44 : x
  2. Step 2: Convert to fraction form
    9,391.64/14,062.41 = 7,755.44/x
  3. Step 3: Cross multiply
    9,391.64x = 14,062.41 × 7,755.44
  4. Step 4: Simplify right side
    9,391.64x = 109,060,106.70
  5. Step 5: Solve for x
    x = 109,060,106.70/9,391.64
  6. Step 6: Final answer
    x = 11,612.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.