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Finding the Fourth Proportional to 9,107.70, 13,668.30 and 4,722.90

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Solution

The fourth proportional to 9,107.70, 13,668.30 and 4,722.90 is: 7,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.70 : 13,668.30 = 4,722.90 : x
  2. Step 2: Convert to fraction form
    9,107.70/13,668.30 = 4,722.90/x
  3. Step 3: Cross multiply
    9,107.70x = 13,668.30 × 4,722.90
  4. Step 4: Simplify right side
    9,107.70x = 64,554,014.07
  5. Step 5: Solve for x
    x = 64,554,014.07/9,107.70
  6. Step 6: Final answer
    x = 7,087.85

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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.