Home / 2,582.30-3,563.64-1,520.14

Finding the Fourth Proportional to 2,582.30, 3,563.64 and 1,520.14

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Solution

The fourth proportional to 2,582.30, 3,563.64 and 1,520.14 is: 2,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.30 : 3,563.64 = 1,520.14 : x
  2. Step 2: Convert to fraction form
    2,582.30/3,563.64 = 1,520.14/x
  3. Step 3: Cross multiply
    2,582.30x = 3,563.64 × 1,520.14
  4. Step 4: Simplify right side
    2,582.30x = 5,417,231.71
  5. Step 5: Solve for x
    x = 5,417,231.71/2,582.30
  6. Step 6: Final answer
    x = 2,097.83

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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.