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Finding the Fourth Proportional to 19,408, 26,783.04 and 10,576

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Solution

The fourth proportional to 19,408, 26,783.04 and 10,576 is: 14,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 26,783.04 = 10,576 : x
  2. Step 2: Convert to fraction form
    19,408/26,783.04 = 10,576/x
  3. Step 3: Cross multiply
    19,408x = 26,783.04 × 10,576
  4. Step 4: Simplify right side
    19,408x = 283,257,431.04
  5. Step 5: Solve for x
    x = 283,257,431.04/19,408
  6. Step 6: Final answer
    x = 14,594.88

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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.