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Finding the Fourth Proportional to 12,369.12, 17,071.12 and 7,891.44

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Solution

The fourth proportional to 12,369.12, 17,071.12 and 7,891.44 is: 10,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.12 : 17,071.12 = 7,891.44 : x
  2. Step 2: Convert to fraction form
    12,369.12/17,071.12 = 7,891.44/x
  3. Step 3: Cross multiply
    12,369.12x = 17,071.12 × 7,891.44
  4. Step 4: Simplify right side
    12,369.12x = 134,715,719.21
  5. Step 5: Solve for x
    x = 134,715,719.21/12,369.12
  6. Step 6: Final answer
    x = 10,891.29

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1.5x scale

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.