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Finding the Fourth Proportional to 1,861.67, 2,567.40 and 1,440.67

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Solution

The fourth proportional to 1,861.67, 2,567.40 and 1,440.67 is: 1,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.67 : 2,567.40 = 1,440.67 : x
  2. Step 2: Convert to fraction form
    1,861.67/2,567.40 = 1,440.67/x
  3. Step 3: Cross multiply
    1,861.67x = 2,567.40 × 1,440.67
  4. Step 4: Simplify right side
    1,861.67x = 3,698,769.15
  5. Step 5: Solve for x
    x = 3,698,769.15/1,861.67
  6. Step 6: Final answer
    x = 1,986.81

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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.