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Finding the Fourth Proportional to 12,325.68, 17,021.87 and 7,851.44

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Solution

The fourth proportional to 12,325.68, 17,021.87 and 7,851.44 is: 10,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.68 : 17,021.87 = 7,851.44 : x
  2. Step 2: Convert to fraction form
    12,325.68/17,021.87 = 7,851.44/x
  3. Step 3: Cross multiply
    12,325.68x = 17,021.87 × 7,851.44
  4. Step 4: Simplify right side
    12,325.68x = 133,646,066.63
  5. Step 5: Solve for x
    x = 133,646,066.63/12,325.68
  6. Step 6: Final answer
    x = 10,842.90

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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.