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Finding the Fourth Proportional to 6,840.40, 10,265.40 and 2,947.60

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Solution

The fourth proportional to 6,840.40, 10,265.40 and 2,947.60 is: 4,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.40 : 10,265.40 = 2,947.60 : x
  2. Step 2: Convert to fraction form
    6,840.40/10,265.40 = 2,947.60/x
  3. Step 3: Cross multiply
    6,840.40x = 10,265.40 × 2,947.60
  4. Step 4: Simplify right side
    6,840.40x = 30,258,293.04
  5. Step 5: Solve for x
    x = 30,258,293.04/6,840.40
  6. Step 6: Final answer
    x = 4,423.47

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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.