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Finding the Fourth Proportional to 2,346.65, 3,520.47 and 885.79

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Solution

The fourth proportional to 2,346.65, 3,520.47 and 885.79 is: 1,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.65 : 3,520.47 = 885.79 : x
  2. Step 2: Convert to fraction form
    2,346.65/3,520.47 = 885.79/x
  3. Step 3: Cross multiply
    2,346.65x = 3,520.47 × 885.79
  4. Step 4: Simplify right side
    2,346.65x = 3,118,375.09
  5. Step 5: Solve for x
    x = 3,118,375.09/2,346.65
  6. Step 6: Final answer
    x = 1,328.87

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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.