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Finding the Fourth Proportional to 3,603.36, 5,405.12 and 1,006.52

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Solution

The fourth proportional to 3,603.36, 5,405.12 and 1,006.52 is: 1,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.36 : 5,405.12 = 1,006.52 : x
  2. Step 2: Convert to fraction form
    3,603.36/5,405.12 = 1,006.52/x
  3. Step 3: Cross multiply
    3,603.36x = 5,405.12 × 1,006.52
  4. Step 4: Simplify right side
    3,603.36x = 5,440,361.38
  5. Step 5: Solve for x
    x = 5,440,361.38/3,603.36
  6. Step 6: Final answer
    x = 1,509.80

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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.