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Finding the Fourth Proportional to 7,662.65, 10,578.48 and 5,157.92

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Solution

The fourth proportional to 7,662.65, 10,578.48 and 5,157.92 is: 7,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.65 : 10,578.48 = 5,157.92 : x
  2. Step 2: Convert to fraction form
    7,662.65/10,578.48 = 5,157.92/x
  3. Step 3: Cross multiply
    7,662.65x = 10,578.48 × 5,157.92
  4. Step 4: Simplify right side
    7,662.65x = 54,562,900.67
  5. Step 5: Solve for x
    x = 54,562,900.67/7,662.65
  6. Step 6: Final answer
    x = 7,120.64

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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.