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Finding the Fourth Proportional to 7,843.66, 11,762.35 and 3,458

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Solution

The fourth proportional to 7,843.66, 11,762.35 and 3,458 is: 5,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.66 : 11,762.35 = 3,458 : x
  2. Step 2: Convert to fraction form
    7,843.66/11,762.35 = 3,458/x
  3. Step 3: Cross multiply
    7,843.66x = 11,762.35 × 3,458
  4. Step 4: Simplify right side
    7,843.66x = 40,674,206.30
  5. Step 5: Solve for x
    x = 40,674,206.30/7,843.66
  6. Step 6: Final answer
    x = 5,185.62

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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.