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Finding the Fourth Proportional to 14,048.88, 21,057 and 5,278.20

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Solution

The fourth proportional to 14,048.88, 21,057 and 5,278.20 is: 7,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.88 : 21,057 = 5,278.20 : x
  2. Step 2: Convert to fraction form
    14,048.88/21,057 = 5,278.20/x
  3. Step 3: Cross multiply
    14,048.88x = 21,057 × 5,278.20
  4. Step 4: Simplify right side
    14,048.88x = 111,143,057.40
  5. Step 5: Solve for x
    x = 111,143,057.40/14,048.88
  6. Step 6: Final answer
    x = 7,911.17

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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.