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Finding the Fourth Proportional to 5,603.64, 8,405.46 and 3,309.72

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Solution

The fourth proportional to 5,603.64, 8,405.46 and 3,309.72 is: 4,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.64 : 8,405.46 = 3,309.72 : x
  2. Step 2: Convert to fraction form
    5,603.64/8,405.46 = 3,309.72/x
  3. Step 3: Cross multiply
    5,603.64x = 8,405.46 × 3,309.72
  4. Step 4: Simplify right side
    5,603.64x = 27,819,719.07
  5. Step 5: Solve for x
    x = 27,819,719.07/5,603.64
  6. Step 6: Final answer
    x = 4,964.58

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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.