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Finding the Fourth Proportional to 3,420.13, 5,128.14 and 1,661.67

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Solution

The fourth proportional to 3,420.13, 5,128.14 and 1,661.67 is: 2,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.13 : 5,128.14 = 1,661.67 : x
  2. Step 2: Convert to fraction form
    3,420.13/5,128.14 = 1,661.67/x
  3. Step 3: Cross multiply
    3,420.13x = 5,128.14 × 1,661.67
  4. Step 4: Simplify right side
    3,420.13x = 8,521,282.63
  5. Step 5: Solve for x
    x = 8,521,282.63/3,420.13
  6. Step 6: Final answer
    x = 2,491.51

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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.