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Finding the Fourth Proportional to 5,453.36, 8,175 and 1,988

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Solution

The fourth proportional to 5,453.36, 8,175 and 1,988 is: 2,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.36 : 8,175 = 1,988 : x
  2. Step 2: Convert to fraction form
    5,453.36/8,175 = 1,988/x
  3. Step 3: Cross multiply
    5,453.36x = 8,175 × 1,988
  4. Step 4: Simplify right side
    5,453.36x = 16,251,900
  5. Step 5: Solve for x
    x = 16,251,900/5,453.36
  6. Step 6: Final answer
    x = 2,980.16

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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.