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Finding the Fourth Proportional to 4,641.57, 6,406.90 and 4,149.50

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Solution

The fourth proportional to 4,641.57, 6,406.90 and 4,149.50 is: 5,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.57 : 6,406.90 = 4,149.50 : x
  2. Step 2: Convert to fraction form
    4,641.57/6,406.90 = 4,149.50/x
  3. Step 3: Cross multiply
    4,641.57x = 6,406.90 × 4,149.50
  4. Step 4: Simplify right side
    4,641.57x = 26,585,389.14
  5. Step 5: Solve for x
    x = 26,585,389.14/4,641.57
  6. Step 6: Final answer
    x = 5,727.67

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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.