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Finding the Fourth Proportional to 5,453.19, 8,181 and 1,557.63

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Solution

The fourth proportional to 5,453.19, 8,181 and 1,557.63 is: 2,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.19 : 8,181 = 1,557.63 : x
  2. Step 2: Convert to fraction form
    5,453.19/8,181 = 1,557.63/x
  3. Step 3: Cross multiply
    5,453.19x = 8,181 × 1,557.63
  4. Step 4: Simplify right side
    5,453.19x = 12,742,971.03
  5. Step 5: Solve for x
    x = 12,742,971.03/5,453.19
  6. Step 6: Final answer
    x = 2,336.79

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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.