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Finding the Fourth Proportional to 3,405.46, 5,108.80 and 1,215.46

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Solution

The fourth proportional to 3,405.46, 5,108.80 and 1,215.46 is: 1,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.46 : 5,108.80 = 1,215.46 : x
  2. Step 2: Convert to fraction form
    3,405.46/5,108.80 = 1,215.46/x
  3. Step 3: Cross multiply
    3,405.46x = 5,108.80 × 1,215.46
  4. Step 4: Simplify right side
    3,405.46x = 6,209,542.05
  5. Step 5: Solve for x
    x = 6,209,542.05/3,405.46
  6. Step 6: Final answer
    x = 1,823.41

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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.