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Finding the Fourth Proportional to 3,482.88, 4,806.48 and 1,911

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Solution

The fourth proportional to 3,482.88, 4,806.48 and 1,911 is: 2,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.88 : 4,806.48 = 1,911 : x
  2. Step 2: Convert to fraction form
    3,482.88/4,806.48 = 1,911/x
  3. Step 3: Cross multiply
    3,482.88x = 4,806.48 × 1,911
  4. Step 4: Simplify right side
    3,482.88x = 9,185,183.28
  5. Step 5: Solve for x
    x = 9,185,183.28/3,482.88
  6. Step 6: Final answer
    x = 2,637.24

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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.