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Finding the Fourth Proportional to 3,361.68, 5,041.96 and 1,607.76

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Solution

The fourth proportional to 3,361.68, 5,041.96 and 1,607.76 is: 2,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.68 : 5,041.96 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    3,361.68/5,041.96 = 1,607.76/x
  3. Step 3: Cross multiply
    3,361.68x = 5,041.96 × 1,607.76
  4. Step 4: Simplify right side
    3,361.68x = 8,106,261.61
  5. Step 5: Solve for x
    x = 8,106,261.61/3,361.68
  6. Step 6: Final answer
    x = 2,411.37

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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.