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Finding the Fourth Proportional to 3,415.97, 5,123.93 and 1,954.08

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Solution

The fourth proportional to 3,415.97, 5,123.93 and 1,954.08 is: 2,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.97 : 5,123.93 = 1,954.08 : x
  2. Step 2: Convert to fraction form
    3,415.97/5,123.93 = 1,954.08/x
  3. Step 3: Cross multiply
    3,415.97x = 5,123.93 × 1,954.08
  4. Step 4: Simplify right side
    3,415.97x = 10,012,559.36
  5. Step 5: Solve for x
    x = 10,012,559.36/3,415.97
  6. Step 6: Final answer
    x = 2,931.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.