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Finding the Fourth Proportional to 2,761.32, 3,811.62 and 1,830.12

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Solution

The fourth proportional to 2,761.32, 3,811.62 and 1,830.12 is: 2,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.32 : 3,811.62 = 1,830.12 : x
  2. Step 2: Convert to fraction form
    2,761.32/3,811.62 = 1,830.12/x
  3. Step 3: Cross multiply
    2,761.32x = 3,811.62 × 1,830.12
  4. Step 4: Simplify right side
    2,761.32x = 6,975,721.99
  5. Step 5: Solve for x
    x = 6,975,721.99/2,761.32
  6. Step 6: Final answer
    x = 2,526.23

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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.