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Finding the Fourth Proportional to 3,661.69, 5,498 and 3,607.02

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Solution

The fourth proportional to 3,661.69, 5,498 and 3,607.02 is: 5,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.69 : 5,498 = 3,607.02 : x
  2. Step 2: Convert to fraction form
    3,661.69/5,498 = 3,607.02/x
  3. Step 3: Cross multiply
    3,661.69x = 5,498 × 3,607.02
  4. Step 4: Simplify right side
    3,661.69x = 19,831,368.47
  5. Step 5: Solve for x
    x = 19,831,368.47/3,661.69
  6. Step 6: Final answer
    x = 5,415.91

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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.