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Finding the Fourth Proportional to 14,424.78, 19,906.14 and 7,800.78

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Solution

The fourth proportional to 14,424.78, 19,906.14 and 7,800.78 is: 10,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.78 : 19,906.14 = 7,800.78 : x
  2. Step 2: Convert to fraction form
    14,424.78/19,906.14 = 7,800.78/x
  3. Step 3: Cross multiply
    14,424.78x = 19,906.14 × 7,800.78
  4. Step 4: Simplify right side
    14,424.78x = 155,283,418.79
  5. Step 5: Solve for x
    x = 155,283,418.79/14,424.78
  6. Step 6: Final answer
    x = 10,765.05

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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.