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Finding the Fourth Proportional to 6,709.60, 9,260.40 and 3,916.48

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Solution

The fourth proportional to 6,709.60, 9,260.40 and 3,916.48 is: 5,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.60 : 9,260.40 = 3,916.48 : x
  2. Step 2: Convert to fraction form
    6,709.60/9,260.40 = 3,916.48/x
  3. Step 3: Cross multiply
    6,709.60x = 9,260.40 × 3,916.48
  4. Step 4: Simplify right side
    6,709.60x = 36,268,171.39
  5. Step 5: Solve for x
    x = 36,268,171.39/6,709.60
  6. Step 6: Final answer
    x = 5,405.41

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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.