Home / 1,822.68-2,509.50-1,589.72

Finding the Fourth Proportional to 1,822.68, 2,509.50 and 1,589.72

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Solution

The fourth proportional to 1,822.68, 2,509.50 and 1,589.72 is: 2,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.68 : 2,509.50 = 1,589.72 : x
  2. Step 2: Convert to fraction form
    1,822.68/2,509.50 = 1,589.72/x
  3. Step 3: Cross multiply
    1,822.68x = 2,509.50 × 1,589.72
  4. Step 4: Simplify right side
    1,822.68x = 3,989,402.34
  5. Step 5: Solve for x
    x = 3,989,402.34/1,822.68
  6. Step 6: Final answer
    x = 2,188.76

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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.