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Finding the Fourth Proportional to 7,722.72, 10,668.24 and 6,148.80

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Solution

The fourth proportional to 7,722.72, 10,668.24 and 6,148.80 is: 8,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.72 : 10,668.24 = 6,148.80 : x
  2. Step 2: Convert to fraction form
    7,722.72/10,668.24 = 6,148.80/x
  3. Step 3: Cross multiply
    7,722.72x = 10,668.24 × 6,148.80
  4. Step 4: Simplify right side
    7,722.72x = 65,596,874.11
  5. Step 5: Solve for x
    x = 65,596,874.11/7,722.72
  6. Step 6: Final answer
    x = 8,494.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.