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Finding the Fourth Proportional to 2,364.08, 3,546.24 and 902.72

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Solution

The fourth proportional to 2,364.08, 3,546.24 and 902.72 is: 1,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.08 : 3,546.24 = 902.72 : x
  2. Step 2: Convert to fraction form
    2,364.08/3,546.24 = 902.72/x
  3. Step 3: Cross multiply
    2,364.08x = 3,546.24 × 902.72
  4. Step 4: Simplify right side
    2,364.08x = 3,201,261.77
  5. Step 5: Solve for x
    x = 3,201,261.77/2,364.08
  6. Step 6: Final answer
    x = 1,354.13

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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.