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Finding the Fourth Proportional to 8,142.64, 12,219.43 and 4,447.52

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Solution

The fourth proportional to 8,142.64, 12,219.43 and 4,447.52 is: 6,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.64 : 12,219.43 = 4,447.52 : x
  2. Step 2: Convert to fraction form
    8,142.64/12,219.43 = 4,447.52/x
  3. Step 3: Cross multiply
    8,142.64x = 12,219.43 × 4,447.52
  4. Step 4: Simplify right side
    8,142.64x = 54,346,159.31
  5. Step 5: Solve for x
    x = 54,346,159.31/8,142.64
  6. Step 6: Final answer
    x = 6,674.27

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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.