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Finding the Fourth Proportional to 9,821.64, 14,704.21 and 9,129.65

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Solution

The fourth proportional to 9,821.64, 14,704.21 and 9,129.65 is: 13,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.64 : 14,704.21 = 9,129.65 : x
  2. Step 2: Convert to fraction form
    9,821.64/14,704.21 = 9,129.65/x
  3. Step 3: Cross multiply
    9,821.64x = 14,704.21 × 9,129.65
  4. Step 4: Simplify right side
    9,821.64x = 134,244,290.83
  5. Step 5: Solve for x
    x = 134,244,290.83/9,821.64
  6. Step 6: Final answer
    x = 13,668.22

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1.5x scale

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.