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Finding the Fourth Proportional to 3,502.25, 5,256.34 and 1,654.70

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Solution

The fourth proportional to 3,502.25, 5,256.34 and 1,654.70 is: 2,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.25 : 5,256.34 = 1,654.70 : x
  2. Step 2: Convert to fraction form
    3,502.25/5,256.34 = 1,654.70/x
  3. Step 3: Cross multiply
    3,502.25x = 5,256.34 × 1,654.70
  4. Step 4: Simplify right side
    3,502.25x = 8,697,644.69
  5. Step 5: Solve for x
    x = 8,697,644.69/3,502.25
  6. Step 6: Final answer
    x = 2,483.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.