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Finding the Fourth Proportional to 10,954.60, 16,407.60 and 4,377.40

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Solution

The fourth proportional to 10,954.60, 16,407.60 and 4,377.40 is: 6,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.60 : 16,407.60 = 4,377.40 : x
  2. Step 2: Convert to fraction form
    10,954.60/16,407.60 = 4,377.40/x
  3. Step 3: Cross multiply
    10,954.60x = 16,407.60 × 4,377.40
  4. Step 4: Simplify right side
    10,954.60x = 71,822,628.24
  5. Step 5: Solve for x
    x = 71,822,628.24/10,954.60
  6. Step 6: Final answer
    x = 6,556.39

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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.