Home / 3,097.31-4,642.46-1,538.40

Finding the Fourth Proportional to 3,097.31, 4,642.46 and 1,538.40

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Solution

The fourth proportional to 3,097.31, 4,642.46 and 1,538.40 is: 2,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.31 : 4,642.46 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    3,097.31/4,642.46 = 1,538.40/x
  3. Step 3: Cross multiply
    3,097.31x = 4,642.46 × 1,538.40
  4. Step 4: Simplify right side
    3,097.31x = 7,141,945.51
  5. Step 5: Solve for x
    x = 7,141,945.51/3,097.31
  6. Step 6: Final answer
    x = 2,305.85

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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.