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Finding the Fourth Proportional to 2,885.69, 3,982.25 and 1,559.40

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Solution

The fourth proportional to 2,885.69, 3,982.25 and 1,559.40 is: 2,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.69 : 3,982.25 = 1,559.40 : x
  2. Step 2: Convert to fraction form
    2,885.69/3,982.25 = 1,559.40/x
  3. Step 3: Cross multiply
    2,885.69x = 3,982.25 × 1,559.40
  4. Step 4: Simplify right side
    2,885.69x = 6,209,900.74
  5. Step 5: Solve for x
    x = 6,209,900.74/2,885.69
  6. Step 6: Final answer
    x = 2,151.96

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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.