Home / 2,047-2,824.88-1,115.52

Finding the Fourth Proportional to 2,047, 2,824.88 and 1,115.52

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Solution

The fourth proportional to 2,047, 2,824.88 and 1,115.52 is: 1,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 2,824.88 = 1,115.52 : x
  2. Step 2: Convert to fraction form
    2,047/2,824.88 = 1,115.52/x
  3. Step 3: Cross multiply
    2,047x = 2,824.88 × 1,115.52
  4. Step 4: Simplify right side
    2,047x = 3,151,210.14
  5. Step 5: Solve for x
    x = 3,151,210.14/2,047
  6. Step 6: Final answer
    x = 1,539.43

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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.