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Finding the Fourth Proportional to 9,891.24, 14,836.86 and 3,970.86

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Solution

The fourth proportional to 9,891.24, 14,836.86 and 3,970.86 is: 5,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.24 : 14,836.86 = 3,970.86 : x
  2. Step 2: Convert to fraction form
    9,891.24/14,836.86 = 3,970.86/x
  3. Step 3: Cross multiply
    9,891.24x = 14,836.86 × 3,970.86
  4. Step 4: Simplify right side
    9,891.24x = 58,915,093.90
  5. Step 5: Solve for x
    x = 58,915,093.90/9,891.24
  6. Step 6: Final answer
    x = 5,956.29

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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.