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Finding the Fourth Proportional to 2,873.52, 4,306.23 and 1,309.68

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Solution

The fourth proportional to 2,873.52, 4,306.23 and 1,309.68 is: 1,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.52 : 4,306.23 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    2,873.52/4,306.23 = 1,309.68/x
  3. Step 3: Cross multiply
    2,873.52x = 4,306.23 × 1,309.68
  4. Step 4: Simplify right side
    2,873.52x = 5,639,783.31
  5. Step 5: Solve for x
    x = 5,639,783.31/2,873.52
  6. Step 6: Final answer
    x = 1,962.67

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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.