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Finding the Fourth Proportional to 8,309.64, 12,473.58 and 4,148.48

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Solution

The fourth proportional to 8,309.64, 12,473.58 and 4,148.48 is: 6,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.64 : 12,473.58 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    8,309.64/12,473.58 = 4,148.48/x
  3. Step 3: Cross multiply
    8,309.64x = 12,473.58 × 4,148.48
  4. Step 4: Simplify right side
    8,309.64x = 51,746,397.16
  5. Step 5: Solve for x
    x = 51,746,397.16/8,309.64
  6. Step 6: Final answer
    x = 6,227.27

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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.