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Finding the Fourth Proportional to 9,374.40, 14,047.20 and 7,905.60

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Solution

The fourth proportional to 9,374.40, 14,047.20 and 7,905.60 is: 11,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.40 : 14,047.20 = 7,905.60 : x
  2. Step 2: Convert to fraction form
    9,374.40/14,047.20 = 7,905.60/x
  3. Step 3: Cross multiply
    9,374.40x = 14,047.20 × 7,905.60
  4. Step 4: Simplify right side
    9,374.40x = 111,051,544.32
  5. Step 5: Solve for x
    x = 111,051,544.32/9,374.40
  6. Step 6: Final answer
    x = 11,846.26

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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.