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Finding the Fourth Proportional to 28,678, 43,031.60 and 13,099.28

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Solution

The fourth proportional to 28,678, 43,031.60 and 13,099.28 is: 19,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,678 : 43,031.60 = 13,099.28 : x
  2. Step 2: Convert to fraction form
    28,678/43,031.60 = 13,099.28/x
  3. Step 3: Cross multiply
    28,678x = 43,031.60 × 13,099.28
  4. Step 4: Simplify right side
    28,678x = 563,682,977.25
  5. Step 5: Solve for x
    x = 563,682,977.25/28,678
  6. Step 6: Final answer
    x = 19,655.59

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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.