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Finding the Fourth Proportional to 2,977.94, 4,109.68 and 1,798.78

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Solution

The fourth proportional to 2,977.94, 4,109.68 and 1,798.78 is: 2,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.94 : 4,109.68 = 1,798.78 : x
  2. Step 2: Convert to fraction form
    2,977.94/4,109.68 = 1,798.78/x
  3. Step 3: Cross multiply
    2,977.94x = 4,109.68 × 1,798.78
  4. Step 4: Simplify right side
    2,977.94x = 7,392,410.19
  5. Step 5: Solve for x
    x = 7,392,410.19/2,977.94
  6. Step 6: Final answer
    x = 2,482.39

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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.