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Finding the Fourth Proportional to 12,857.22, 19,287 and 5,064.24

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Solution

The fourth proportional to 12,857.22, 19,287 and 5,064.24 is: 7,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.22 : 19,287 = 5,064.24 : x
  2. Step 2: Convert to fraction form
    12,857.22/19,287 = 5,064.24/x
  3. Step 3: Cross multiply
    12,857.22x = 19,287 × 5,064.24
  4. Step 4: Simplify right side
    12,857.22x = 97,673,996.88
  5. Step 5: Solve for x
    x = 97,673,996.88/12,857.22
  6. Step 6: Final answer
    x = 7,596.82

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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.