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Finding the Fourth Proportional to 3,254.34, 4,878 and 1,607.34

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Solution

The fourth proportional to 3,254.34, 4,878 and 1,607.34 is: 2,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.34 : 4,878 = 1,607.34 : x
  2. Step 2: Convert to fraction form
    3,254.34/4,878 = 1,607.34/x
  3. Step 3: Cross multiply
    3,254.34x = 4,878 × 1,607.34
  4. Step 4: Simplify right side
    3,254.34x = 7,840,604.52
  5. Step 5: Solve for x
    x = 7,840,604.52/3,254.34
  6. Step 6: Final answer
    x = 2,409.28

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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.