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Finding the Fourth Proportional to 2,362.72, 3,544.08 and 631.36

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Solution

The fourth proportional to 2,362.72, 3,544.08 and 631.36 is: 947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.72 : 3,544.08 = 631.36 : x
  2. Step 2: Convert to fraction form
    2,362.72/3,544.08 = 631.36/x
  3. Step 3: Cross multiply
    2,362.72x = 3,544.08 × 631.36
  4. Step 4: Simplify right side
    2,362.72x = 2,237,590.35
  5. Step 5: Solve for x
    x = 2,237,590.35/2,362.72
  6. Step 6: Final answer
    x = 947.04

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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.