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Finding the Fourth Proportional to 3,657.56, 5,447.14 and 3,434

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Solution

The fourth proportional to 3,657.56, 5,447.14 and 3,434 is: 5,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.56 : 5,447.14 = 3,434 : x
  2. Step 2: Convert to fraction form
    3,657.56/5,447.14 = 3,434/x
  3. Step 3: Cross multiply
    3,657.56x = 5,447.14 × 3,434
  4. Step 4: Simplify right side
    3,657.56x = 18,705,478.76
  5. Step 5: Solve for x
    x = 18,705,478.76/3,657.56
  6. Step 6: Final answer
    x = 5,114.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.