Home / 1,563.09-2,342.31-1,424.78

Finding the Fourth Proportional to 1,563.09, 2,342.31 and 1,424.78

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Solution

The fourth proportional to 1,563.09, 2,342.31 and 1,424.78 is: 2,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.09 : 2,342.31 = 1,424.78 : x
  2. Step 2: Convert to fraction form
    1,563.09/2,342.31 = 1,424.78/x
  3. Step 3: Cross multiply
    1,563.09x = 2,342.31 × 1,424.78
  4. Step 4: Simplify right side
    1,563.09x = 3,337,276.95
  5. Step 5: Solve for x
    x = 3,337,276.95/1,563.09
  6. Step 6: Final answer
    x = 2,135.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.