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Finding the Fourth Proportional to 2,402.69, 3,314.00 and 1,561.83

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Solution

The fourth proportional to 2,402.69, 3,314.00 and 1,561.83 is: 2,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.69 : 3,314.00 = 1,561.83 : x
  2. Step 2: Convert to fraction form
    2,402.69/3,314.00 = 1,561.83/x
  3. Step 3: Cross multiply
    2,402.69x = 3,314.00 × 1,561.83
  4. Step 4: Simplify right side
    2,402.69x = 5,175,896.81
  5. Step 5: Solve for x
    x = 5,175,896.81/2,402.69
  6. Step 6: Final answer
    x = 2,154.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.