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Finding the Fourth Proportional to 10,676.70, 15,978.60 and 9,801.90

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Solution

The fourth proportional to 10,676.70, 15,978.60 and 9,801.90 is: 14,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.70 : 15,978.60 = 9,801.90 : x
  2. Step 2: Convert to fraction form
    10,676.70/15,978.60 = 9,801.90/x
  3. Step 3: Cross multiply
    10,676.70x = 15,978.60 × 9,801.90
  4. Step 4: Simplify right side
    10,676.70x = 156,620,639.34
  5. Step 5: Solve for x
    x = 156,620,639.34/10,676.70
  6. Step 6: Final answer
    x = 14,669.39

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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.