Home / 3,097.67-4,643.00-1,538.76

Finding the Fourth Proportional to 3,097.67, 4,643.00 and 1,538.76

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Solution

The fourth proportional to 3,097.67, 4,643.00 and 1,538.76 is: 2,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.67 : 4,643.00 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    3,097.67/4,643.00 = 1,538.76/x
  3. Step 3: Cross multiply
    3,097.67x = 4,643.00 × 1,538.76
  4. Step 4: Simplify right side
    3,097.67x = 7,144,454.99
  5. Step 5: Solve for x
    x = 7,144,454.99/3,097.67
  6. Step 6: Final answer
    x = 2,306.40

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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.