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Finding the Fourth Proportional to 2,795.40, 3,857.72 and 1,536.54

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Solution

The fourth proportional to 2,795.40, 3,857.72 and 1,536.54 is: 2,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.40 : 3,857.72 = 1,536.54 : x
  2. Step 2: Convert to fraction form
    2,795.40/3,857.72 = 1,536.54/x
  3. Step 3: Cross multiply
    2,795.40x = 3,857.72 × 1,536.54
  4. Step 4: Simplify right side
    2,795.40x = 5,927,533.41
  5. Step 5: Solve for x
    x = 5,927,533.41/2,795.40
  6. Step 6: Final answer
    x = 2,120.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.