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Finding the Fourth Proportional to 8,574.92, 12,856.80 and 3,643.20

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Solution

The fourth proportional to 8,574.92, 12,856.80 and 3,643.20 is: 5,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.92 : 12,856.80 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    8,574.92/12,856.80 = 3,643.20/x
  3. Step 3: Cross multiply
    8,574.92x = 12,856.80 × 3,643.20
  4. Step 4: Simplify right side
    8,574.92x = 46,839,893.76
  5. Step 5: Solve for x
    x = 46,839,893.76/8,574.92
  6. Step 6: Final answer
    x = 5,462.43

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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.