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Finding the Fourth Proportional to 3,275.80, 4,914.50 and 1,544

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Solution

The fourth proportional to 3,275.80, 4,914.50 and 1,544 is: 2,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.80 : 4,914.50 = 1,544 : x
  2. Step 2: Convert to fraction form
    3,275.80/4,914.50 = 1,544/x
  3. Step 3: Cross multiply
    3,275.80x = 4,914.50 × 1,544
  4. Step 4: Simplify right side
    3,275.80x = 7,587,988
  5. Step 5: Solve for x
    x = 7,587,988/3,275.80
  6. Step 6: Final answer
    x = 2,316.38

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