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Finding the Fourth Proportional to 2,654.96, 3,981.40 and 1,174.10

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Solution

The fourth proportional to 2,654.96, 3,981.40 and 1,174.10 is: 1,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.96 : 3,981.40 = 1,174.10 : x
  2. Step 2: Convert to fraction form
    2,654.96/3,981.40 = 1,174.10/x
  3. Step 3: Cross multiply
    2,654.96x = 3,981.40 × 1,174.10
  4. Step 4: Simplify right side
    2,654.96x = 4,674,561.74
  5. Step 5: Solve for x
    x = 4,674,561.74/2,654.96
  6. Step 6: Final answer
    x = 1,760.69

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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.