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Finding the Fourth Proportional to 2,509.50, 3,462.72 and 1,612.74

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Solution

The fourth proportional to 2,509.50, 3,462.72 and 1,612.74 is: 2,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.50 : 3,462.72 = 1,612.74 : x
  2. Step 2: Convert to fraction form
    2,509.50/3,462.72 = 1,612.74/x
  3. Step 3: Cross multiply
    2,509.50x = 3,462.72 × 1,612.74
  4. Step 4: Simplify right side
    2,509.50x = 5,584,467.05
  5. Step 5: Solve for x
    x = 5,584,467.05/2,509.50
  6. Step 6: Final answer
    x = 2,225.33

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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.