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Finding the Fourth Proportional to 3,768.88, 5,654.42 and 1,688.42

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Solution

The fourth proportional to 3,768.88, 5,654.42 and 1,688.42 is: 2,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.88 : 5,654.42 = 1,688.42 : x
  2. Step 2: Convert to fraction form
    3,768.88/5,654.42 = 1,688.42/x
  3. Step 3: Cross multiply
    3,768.88x = 5,654.42 × 1,688.42
  4. Step 4: Simplify right side
    3,768.88x = 9,547,021.68
  5. Step 5: Solve for x
    x = 9,547,021.68/3,768.88
  6. Step 6: Final answer
    x = 2,533.12

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1.5x scale

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.