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Finding the Fourth Proportional to 8,305.60, 12,448.92 and 4,148.48

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Solution

The fourth proportional to 8,305.60, 12,448.92 and 4,148.48 is: 6,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.60 : 12,448.92 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    8,305.60/12,448.92 = 4,148.48/x
  3. Step 3: Cross multiply
    8,305.60x = 12,448.92 × 4,148.48
  4. Step 4: Simplify right side
    8,305.60x = 51,644,095.64
  5. Step 5: Solve for x
    x = 51,644,095.64/8,305.60
  6. Step 6: Final answer
    x = 6,217.98

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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.