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Finding the Fourth Proportional to 2,389.77, 3,576.15 and 2,000.16

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Solution

The fourth proportional to 2,389.77, 3,576.15 and 2,000.16 is: 2,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.77 : 3,576.15 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    2,389.77/3,576.15 = 2,000.16/x
  3. Step 3: Cross multiply
    2,389.77x = 3,576.15 × 2,000.16
  4. Step 4: Simplify right side
    2,389.77x = 7,152,872.18
  5. Step 5: Solve for x
    x = 7,152,872.18/2,389.77
  6. Step 6: Final answer
    x = 2,993.12

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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.