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Finding the Fourth Proportional to 2,689.64, 4,035.61 and 1,392.02

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Solution

The fourth proportional to 2,689.64, 4,035.61 and 1,392.02 is: 2,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.64 : 4,035.61 = 1,392.02 : x
  2. Step 2: Convert to fraction form
    2,689.64/4,035.61 = 1,392.02/x
  3. Step 3: Cross multiply
    2,689.64x = 4,035.61 × 1,392.02
  4. Step 4: Simplify right side
    2,689.64x = 5,617,626.17
  5. Step 5: Solve for x
    x = 5,617,626.17/2,689.64
  6. Step 6: Final answer
    x = 2,088.62

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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.