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Finding the Fourth Proportional to 6,161.50, 9,242.26 and 1,544.50

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Solution

The fourth proportional to 6,161.50, 9,242.26 and 1,544.50 is: 2,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.50 : 9,242.26 = 1,544.50 : x
  2. Step 2: Convert to fraction form
    6,161.50/9,242.26 = 1,544.50/x
  3. Step 3: Cross multiply
    6,161.50x = 9,242.26 × 1,544.50
  4. Step 4: Simplify right side
    6,161.50x = 14,274,670.57
  5. Step 5: Solve for x
    x = 14,274,670.57/6,161.50
  6. Step 6: Final answer
    x = 2,316.75

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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.