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Finding the Fourth Proportional to 9,958.40, 14,919.60 and 4,752.80

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Solution

The fourth proportional to 9,958.40, 14,919.60 and 4,752.80 is: 7,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.40 : 14,919.60 = 4,752.80 : x
  2. Step 2: Convert to fraction form
    9,958.40/14,919.60 = 4,752.80/x
  3. Step 3: Cross multiply
    9,958.40x = 14,919.60 × 4,752.80
  4. Step 4: Simplify right side
    9,958.40x = 70,909,874.88
  5. Step 5: Solve for x
    x = 70,909,874.88/9,958.40
  6. Step 6: Final answer
    x = 7,120.61

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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.