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Finding the Fourth Proportional to 2,047.69, 3,071.53 and 679.69

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Solution

The fourth proportional to 2,047.69, 3,071.53 and 679.69 is: 1,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.69 : 3,071.53 = 679.69 : x
  2. Step 2: Convert to fraction form
    2,047.69/3,071.53 = 679.69/x
  3. Step 3: Cross multiply
    2,047.69x = 3,071.53 × 679.69
  4. Step 4: Simplify right side
    2,047.69x = 2,087,681.40
  5. Step 5: Solve for x
    x = 2,087,681.40/2,047.69
  6. Step 6: Final answer
    x = 1,019.53

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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.