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Finding the Fourth Proportional to 3,407.67, 5,114.24 and 1,328.63

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Solution

The fourth proportional to 3,407.67, 5,114.24 and 1,328.63 is: 1,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.67 : 5,114.24 = 1,328.63 : x
  2. Step 2: Convert to fraction form
    3,407.67/5,114.24 = 1,328.63/x
  3. Step 3: Cross multiply
    3,407.67x = 5,114.24 × 1,328.63
  4. Step 4: Simplify right side
    3,407.67x = 6,794,900.48
  5. Step 5: Solve for x
    x = 6,794,900.48/3,407.67
  6. Step 6: Final answer
    x = 1,994.00

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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.