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Finding the Fourth Proportional to 3,039.53, 4,558.68 and 847.67

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Solution

The fourth proportional to 3,039.53, 4,558.68 and 847.67 is: 1,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.53 : 4,558.68 = 847.67 : x
  2. Step 2: Convert to fraction form
    3,039.53/4,558.68 = 847.67/x
  3. Step 3: Cross multiply
    3,039.53x = 4,558.68 × 847.67
  4. Step 4: Simplify right side
    3,039.53x = 3,864,233.48
  5. Step 5: Solve for x
    x = 3,864,233.48/3,039.53
  6. Step 6: Final answer
    x = 1,271.33

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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.