Home / 1,826.08-2,520-1,029.42

Finding the Fourth Proportional to 1,826.08, 2,520 and 1,029.42

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Solution

The fourth proportional to 1,826.08, 2,520 and 1,029.42 is: 1,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.08 : 2,520 = 1,029.42 : x
  2. Step 2: Convert to fraction form
    1,826.08/2,520 = 1,029.42/x
  3. Step 3: Cross multiply
    1,826.08x = 2,520 × 1,029.42
  4. Step 4: Simplify right side
    1,826.08x = 2,594,138.40
  5. Step 5: Solve for x
    x = 2,594,138.40/1,826.08
  6. Step 6: Final answer
    x = 1,420.61

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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.