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Finding the Fourth Proportional to 2,896.63, 3,994.34 and 2,478.36

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Solution

The fourth proportional to 2,896.63, 3,994.34 and 2,478.36 is: 3,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.63 : 3,994.34 = 2,478.36 : x
  2. Step 2: Convert to fraction form
    2,896.63/3,994.34 = 2,478.36/x
  3. Step 3: Cross multiply
    2,896.63x = 3,994.34 × 2,478.36
  4. Step 4: Simplify right side
    2,896.63x = 9,899,415.07
  5. Step 5: Solve for x
    x = 9,899,415.07/2,896.63
  6. Step 6: Final answer
    x = 3,417.57

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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.