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Finding the Fourth Proportional to 2,073.58, 3,110.25 and 513.50

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Solution

The fourth proportional to 2,073.58, 3,110.25 and 513.50 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.58 : 3,110.25 = 513.50 : x
  2. Step 2: Convert to fraction form
    2,073.58/3,110.25 = 513.50/x
  3. Step 3: Cross multiply
    2,073.58x = 3,110.25 × 513.50
  4. Step 4: Simplify right side
    2,073.58x = 1,597,113.38
  5. Step 5: Solve for x
    x = 1,597,113.38/2,073.58
  6. Step 6: Final answer
    x = 770.22

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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.