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Finding the Fourth Proportional to 8,323.92, 12,489.12 and 7,643.52

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Solution

The fourth proportional to 8,323.92, 12,489.12 and 7,643.52 is: 11,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.92 : 12,489.12 = 7,643.52 : x
  2. Step 2: Convert to fraction form
    8,323.92/12,489.12 = 7,643.52/x
  3. Step 3: Cross multiply
    8,323.92x = 12,489.12 × 7,643.52
  4. Step 4: Simplify right side
    8,323.92x = 95,460,838.50
  5. Step 5: Solve for x
    x = 95,460,838.50/8,323.92
  6. Step 6: Final answer
    x = 11,468.26

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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.