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Finding the Fourth Proportional to 4,738.93, 7,107.18 and 1,406.40

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Solution

The fourth proportional to 4,738.93, 7,107.18 and 1,406.40 is: 2,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.93 : 7,107.18 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    4,738.93/7,107.18 = 1,406.40/x
  3. Step 3: Cross multiply
    4,738.93x = 7,107.18 × 1,406.40
  4. Step 4: Simplify right side
    4,738.93x = 9,995,506.03
  5. Step 5: Solve for x
    x = 9,995,506.03/4,738.93
  6. Step 6: Final answer
    x = 2,109.23

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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.