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Finding the Fourth Proportional to 9,375.40, 14,054.10 and 5,422.60

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Solution

The fourth proportional to 9,375.40, 14,054.10 and 5,422.60 is: 8,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.40 : 14,054.10 = 5,422.60 : x
  2. Step 2: Convert to fraction form
    9,375.40/14,054.10 = 5,422.60/x
  3. Step 3: Cross multiply
    9,375.40x = 14,054.10 × 5,422.60
  4. Step 4: Simplify right side
    9,375.40x = 76,209,762.66
  5. Step 5: Solve for x
    x = 76,209,762.66/9,375.40
  6. Step 6: Final answer
    x = 8,128.69

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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.