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Finding the Fourth Proportional to 3,643.61, 5,464.83 and 1,303.17

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Solution

The fourth proportional to 3,643.61, 5,464.83 and 1,303.17 is: 1,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.61 : 5,464.83 = 1,303.17 : x
  2. Step 2: Convert to fraction form
    3,643.61/5,464.83 = 1,303.17/x
  3. Step 3: Cross multiply
    3,643.61x = 5,464.83 × 1,303.17
  4. Step 4: Simplify right side
    3,643.61x = 7,121,609.66
  5. Step 5: Solve for x
    x = 7,121,609.66/3,643.61
  6. Step 6: Final answer
    x = 1,954.55

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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.