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Finding the Fourth Proportional to 2,949.63, 4,070.48 and 1,830.21

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Solution

The fourth proportional to 2,949.63, 4,070.48 and 1,830.21 is: 2,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.63 : 4,070.48 = 1,830.21 : x
  2. Step 2: Convert to fraction form
    2,949.63/4,070.48 = 1,830.21/x
  3. Step 3: Cross multiply
    2,949.63x = 4,070.48 × 1,830.21
  4. Step 4: Simplify right side
    2,949.63x = 7,449,824.05
  5. Step 5: Solve for x
    x = 7,449,824.05/2,949.63
  6. Step 6: Final answer
    x = 2,525.68

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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.