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Finding the Fourth Proportional to 3,607.66, 5,405.10 and 1,655.76

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Solution

The fourth proportional to 3,607.66, 5,405.10 and 1,655.76 is: 2,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.66 : 5,405.10 = 1,655.76 : x
  2. Step 2: Convert to fraction form
    3,607.66/5,405.10 = 1,655.76/x
  3. Step 3: Cross multiply
    3,607.66x = 5,405.10 × 1,655.76
  4. Step 4: Simplify right side
    3,607.66x = 8,949,548.38
  5. Step 5: Solve for x
    x = 8,949,548.38/3,607.66
  6. Step 6: Final answer
    x = 2,480.71

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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.