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Finding the Fourth Proportional to 3,435.94, 5,153.10 and 1,585.90

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Solution

The fourth proportional to 3,435.94, 5,153.10 and 1,585.90 is: 2,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.94 : 5,153.10 = 1,585.90 : x
  2. Step 2: Convert to fraction form
    3,435.94/5,153.10 = 1,585.90/x
  3. Step 3: Cross multiply
    3,435.94x = 5,153.10 × 1,585.90
  4. Step 4: Simplify right side
    3,435.94x = 8,172,301.29
  5. Step 5: Solve for x
    x = 8,172,301.29/3,435.94
  6. Step 6: Final answer
    x = 2,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.