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Finding the Fourth Proportional to 7,857.47, 11,788.08 and 2,310.99

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Solution

The fourth proportional to 7,857.47, 11,788.08 and 2,310.99 is: 3,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.47 : 11,788.08 = 2,310.99 : x
  2. Step 2: Convert to fraction form
    7,857.47/11,788.08 = 2,310.99/x
  3. Step 3: Cross multiply
    7,857.47x = 11,788.08 × 2,310.99
  4. Step 4: Simplify right side
    7,857.47x = 27,242,123.44
  5. Step 5: Solve for x
    x = 27,242,123.44/7,857.47
  6. Step 6: Final answer
    x = 3,467.04

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1.5x scale

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.