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Finding the Fourth Proportional to 11,482.91, 15,847.34 and 6,447.47

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Solution

The fourth proportional to 11,482.91, 15,847.34 and 6,447.47 is: 8,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.91 : 15,847.34 = 6,447.47 : x
  2. Step 2: Convert to fraction form
    11,482.91/15,847.34 = 6,447.47/x
  3. Step 3: Cross multiply
    11,482.91x = 15,847.34 × 6,447.47
  4. Step 4: Simplify right side
    11,482.91x = 102,175,137.76
  5. Step 5: Solve for x
    x = 102,175,137.76/11,482.91
  6. Step 6: Final answer
    x = 8,898.02

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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.