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Finding the Fourth Proportional to 5,790.64, 7,991.04 and 3,138.08

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Solution

The fourth proportional to 5,790.64, 7,991.04 and 3,138.08 is: 4,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.64 : 7,991.04 = 3,138.08 : x
  2. Step 2: Convert to fraction form
    5,790.64/7,991.04 = 3,138.08/x
  3. Step 3: Cross multiply
    5,790.64x = 7,991.04 × 3,138.08
  4. Step 4: Simplify right side
    5,790.64x = 25,076,522.80
  5. Step 5: Solve for x
    x = 25,076,522.80/5,790.64
  6. Step 6: Final answer
    x = 4,330.53

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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.