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Finding the Fourth Proportional to 3,503.96, 5,254.32 and 1,311.12

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Solution

The fourth proportional to 3,503.96, 5,254.32 and 1,311.12 is: 1,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.96 : 5,254.32 = 1,311.12 : x
  2. Step 2: Convert to fraction form
    3,503.96/5,254.32 = 1,311.12/x
  3. Step 3: Cross multiply
    3,503.96x = 5,254.32 × 1,311.12
  4. Step 4: Simplify right side
    3,503.96x = 6,889,044.04
  5. Step 5: Solve for x
    x = 6,889,044.04/3,503.96
  6. Step 6: Final answer
    x = 1,966.07

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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.