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Finding the Fourth Proportional to 8,434.68, 12,635.06 and 4,205.20

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Solution

The fourth proportional to 8,434.68, 12,635.06 and 4,205.20 is: 6,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.68 : 12,635.06 = 4,205.20 : x
  2. Step 2: Convert to fraction form
    8,434.68/12,635.06 = 4,205.20/x
  3. Step 3: Cross multiply
    8,434.68x = 12,635.06 × 4,205.20
  4. Step 4: Simplify right side
    8,434.68x = 53,132,954.31
  5. Step 5: Solve for x
    x = 53,132,954.31/8,434.68
  6. Step 6: Final answer
    x = 6,299.34

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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.