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Finding the Fourth Proportional to 7,722.65, 10,588.48 and 7,648.83

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Solution

The fourth proportional to 7,722.65, 10,588.48 and 7,648.83 is: 10,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.65 : 10,588.48 = 7,648.83 : x
  2. Step 2: Convert to fraction form
    7,722.65/10,588.48 = 7,648.83/x
  3. Step 3: Cross multiply
    7,722.65x = 10,588.48 × 7,648.83
  4. Step 4: Simplify right side
    7,722.65x = 80,989,464.36
  5. Step 5: Solve for x
    x = 80,989,464.36/7,722.65
  6. Step 6: Final answer
    x = 10,487.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.