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Finding the Fourth Proportional to 8,574.58, 12,856.20 and 5,644

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Solution

The fourth proportional to 8,574.58, 12,856.20 and 5,644 is: 8,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.58 : 12,856.20 = 5,644 : x
  2. Step 2: Convert to fraction form
    8,574.58/12,856.20 = 5,644/x
  3. Step 3: Cross multiply
    8,574.58x = 12,856.20 × 5,644
  4. Step 4: Simplify right side
    8,574.58x = 72,560,392.80
  5. Step 5: Solve for x
    x = 72,560,392.80/8,574.58
  6. Step 6: Final answer
    x = 8,462.27

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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.