Home / 2,045.20-3,046.32-2,020

Finding the Fourth Proportional to 2,045.20, 3,046.32 and 2,020

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Solution

The fourth proportional to 2,045.20, 3,046.32 and 2,020 is: 3,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.20 : 3,046.32 = 2,020 : x
  2. Step 2: Convert to fraction form
    2,045.20/3,046.32 = 2,020/x
  3. Step 3: Cross multiply
    2,045.20x = 3,046.32 × 2,020
  4. Step 4: Simplify right side
    2,045.20x = 6,153,566.40
  5. Step 5: Solve for x
    x = 6,153,566.40/2,045.20
  6. Step 6: Final answer
    x = 3,008.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.