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Finding the Fourth Proportional to 3,763.70, 5,190 and 2,271.32

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Solution

The fourth proportional to 3,763.70, 5,190 and 2,271.32 is: 3,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.70 : 5,190 = 2,271.32 : x
  2. Step 2: Convert to fraction form
    3,763.70/5,190 = 2,271.32/x
  3. Step 3: Cross multiply
    3,763.70x = 5,190 × 2,271.32
  4. Step 4: Simplify right side
    3,763.70x = 11,788,150.80
  5. Step 5: Solve for x
    x = 11,788,150.80/3,763.70
  6. Step 6: Final answer
    x = 3,132.06

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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.