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Finding the Fourth Proportional to 4,762.86, 7,144.29 and 2,166.54

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Solution

The fourth proportional to 4,762.86, 7,144.29 and 2,166.54 is: 3,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.86 : 7,144.29 = 2,166.54 : x
  2. Step 2: Convert to fraction form
    4,762.86/7,144.29 = 2,166.54/x
  3. Step 3: Cross multiply
    4,762.86x = 7,144.29 × 2,166.54
  4. Step 4: Simplify right side
    4,762.86x = 15,478,390.06
  5. Step 5: Solve for x
    x = 15,478,390.06/4,762.86
  6. Step 6: Final answer
    x = 3,249.81

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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.