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Finding the Fourth Proportional to 3,643.17, 5,464.09 and 974.79

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Solution

The fourth proportional to 3,643.17, 5,464.09 and 974.79 is: 1,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.17 : 5,464.09 = 974.79 : x
  2. Step 2: Convert to fraction form
    3,643.17/5,464.09 = 974.79/x
  3. Step 3: Cross multiply
    3,643.17x = 5,464.09 × 974.79
  4. Step 4: Simplify right side
    3,643.17x = 5,326,337.85
  5. Step 5: Solve for x
    x = 5,326,337.85/3,643.17
  6. Step 6: Final answer
    x = 1,462.01

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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.