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Finding the Fourth Proportional to 3,039.30, 4,558.50 and 847.86

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Solution

The fourth proportional to 3,039.30, 4,558.50 and 847.86 is: 1,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.30 : 4,558.50 = 847.86 : x
  2. Step 2: Convert to fraction form
    3,039.30/4,558.50 = 847.86/x
  3. Step 3: Cross multiply
    3,039.30x = 4,558.50 × 847.86
  4. Step 4: Simplify right side
    3,039.30x = 3,864,969.81
  5. Step 5: Solve for x
    x = 3,864,969.81/3,039.30
  6. Step 6: Final answer
    x = 1,271.66

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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.