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Finding the Fourth Proportional to 11,484.81, 15,847.82 and 6,449.58

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Solution

The fourth proportional to 11,484.81, 15,847.82 and 6,449.58 is: 8,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.81 : 15,847.82 = 6,449.58 : x
  2. Step 2: Convert to fraction form
    11,484.81/15,847.82 = 6,449.58/x
  3. Step 3: Cross multiply
    11,484.81x = 15,847.82 × 6,449.58
  4. Step 4: Simplify right side
    11,484.81x = 102,211,782.92
  5. Step 5: Solve for x
    x = 102,211,782.92/11,484.81
  6. Step 6: Final answer
    x = 8,899.74

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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.