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Finding the Fourth Proportional to 6,289.75, 8,674.70 and 3,898.06

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Solution

The fourth proportional to 6,289.75, 8,674.70 and 3,898.06 is: 5,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.75 : 8,674.70 = 3,898.06 : x
  2. Step 2: Convert to fraction form
    6,289.75/8,674.70 = 3,898.06/x
  3. Step 3: Cross multiply
    6,289.75x = 8,674.70 × 3,898.06
  4. Step 4: Simplify right side
    6,289.75x = 33,814,501.08
  5. Step 5: Solve for x
    x = 33,814,501.08/6,289.75
  6. Step 6: Final answer
    x = 5,376.13

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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.