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Finding the Fourth Proportional to 8,410.10, 12,615.84 and 3,478.82

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Solution

The fourth proportional to 8,410.10, 12,615.84 and 3,478.82 is: 5,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.10 : 12,615.84 = 3,478.82 : x
  2. Step 2: Convert to fraction form
    8,410.10/12,615.84 = 3,478.82/x
  3. Step 3: Cross multiply
    8,410.10x = 12,615.84 × 3,478.82
  4. Step 4: Simplify right side
    8,410.10x = 43,888,236.51
  5. Step 5: Solve for x
    x = 43,888,236.51/8,410.10
  6. Step 6: Final answer
    x = 5,218.52

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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.