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Finding the Fourth Proportional to 12,859.20, 19,272 and 5,057.28

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Solution

The fourth proportional to 12,859.20, 19,272 and 5,057.28 is: 7,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.20 : 19,272 = 5,057.28 : x
  2. Step 2: Convert to fraction form
    12,859.20/19,272 = 5,057.28/x
  3. Step 3: Cross multiply
    12,859.20x = 19,272 × 5,057.28
  4. Step 4: Simplify right side
    12,859.20x = 97,463,900.16
  5. Step 5: Solve for x
    x = 97,463,900.16/12,859.20
  6. Step 6: Final answer
    x = 7,579.31

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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.