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Finding the Fourth Proportional to 2,292.50, 3,164.47 and 1,361

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Solution

The fourth proportional to 2,292.50, 3,164.47 and 1,361 is: 1,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.50 : 3,164.47 = 1,361 : x
  2. Step 2: Convert to fraction form
    2,292.50/3,164.47 = 1,361/x
  3. Step 3: Cross multiply
    2,292.50x = 3,164.47 × 1,361
  4. Step 4: Simplify right side
    2,292.50x = 4,306,843.67
  5. Step 5: Solve for x
    x = 4,306,843.67/2,292.50
  6. Step 6: Final answer
    x = 1,878.67

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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.