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Finding the Fourth Proportional to 2,609.50, 3,600.99 and 1,562.14

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Solution

The fourth proportional to 2,609.50, 3,600.99 and 1,562.14 is: 2,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.50 : 3,600.99 = 1,562.14 : x
  2. Step 2: Convert to fraction form
    2,609.50/3,600.99 = 1,562.14/x
  3. Step 3: Cross multiply
    2,609.50x = 3,600.99 × 1,562.14
  4. Step 4: Simplify right side
    2,609.50x = 5,625,232.51
  5. Step 5: Solve for x
    x = 5,625,232.51/2,609.50
  6. Step 6: Final answer
    x = 2,155.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.