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Finding the Fourth Proportional to 4,172.67, 5,758.20 and 2,309.67

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Solution

The fourth proportional to 4,172.67, 5,758.20 and 2,309.67 is: 3,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.67 : 5,758.20 = 2,309.67 : x
  2. Step 2: Convert to fraction form
    4,172.67/5,758.20 = 2,309.67/x
  3. Step 3: Cross multiply
    4,172.67x = 5,758.20 × 2,309.67
  4. Step 4: Simplify right side
    4,172.67x = 13,299,541.79
  5. Step 5: Solve for x
    x = 13,299,541.79/4,172.67
  6. Step 6: Final answer
    x = 3,187.30

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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.