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Finding the Fourth Proportional to 3,510.84, 5,269.32 and 1,431.96

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Solution

The fourth proportional to 3,510.84, 5,269.32 and 1,431.96 is: 2,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.84 : 5,269.32 = 1,431.96 : x
  2. Step 2: Convert to fraction form
    3,510.84/5,269.32 = 1,431.96/x
  3. Step 3: Cross multiply
    3,510.84x = 5,269.32 × 1,431.96
  4. Step 4: Simplify right side
    3,510.84x = 7,545,455.47
  5. Step 5: Solve for x
    x = 7,545,455.47/3,510.84
  6. Step 6: Final answer
    x = 2,149.19

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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.