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Finding the Fourth Proportional to 9,950.21, 14,923.20 and 2,928.32

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Solution

The fourth proportional to 9,950.21, 14,923.20 and 2,928.32 is: 4,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.21 : 14,923.20 = 2,928.32 : x
  2. Step 2: Convert to fraction form
    9,950.21/14,923.20 = 2,928.32/x
  3. Step 3: Cross multiply
    9,950.21x = 14,923.20 × 2,928.32
  4. Step 4: Simplify right side
    9,950.21x = 43,699,830.41
  5. Step 5: Solve for x
    x = 43,699,830.41/9,950.21
  6. Step 6: Final answer
    x = 4,391.85

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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.