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Finding the Fourth Proportional to 6,270.40, 9,405.60 and 2,374.60

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Solution

The fourth proportional to 6,270.40, 9,405.60 and 2,374.60 is: 3,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.40 : 9,405.60 = 2,374.60 : x
  2. Step 2: Convert to fraction form
    6,270.40/9,405.60 = 2,374.60/x
  3. Step 3: Cross multiply
    6,270.40x = 9,405.60 × 2,374.60
  4. Step 4: Simplify right side
    6,270.40x = 22,334,537.76
  5. Step 5: Solve for x
    x = 22,334,537.76/6,270.40
  6. Step 6: Final answer
    x = 3,561.90

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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.