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Finding the Fourth Proportional to 8,384.40, 12,584.70 and 4,229.10

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Solution

The fourth proportional to 8,384.40, 12,584.70 and 4,229.10 is: 6,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.40 : 12,584.70 = 4,229.10 : x
  2. Step 2: Convert to fraction form
    8,384.40/12,584.70 = 4,229.10/x
  3. Step 3: Cross multiply
    8,384.40x = 12,584.70 × 4,229.10
  4. Step 4: Simplify right side
    8,384.40x = 53,221,954.77
  5. Step 5: Solve for x
    x = 53,221,954.77/8,384.40
  6. Step 6: Final answer
    x = 6,347.74

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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.