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Finding the Fourth Proportional to 1,925, 2,655.27 and 1,138.49

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Solution

The fourth proportional to 1,925, 2,655.27 and 1,138.49 is: 1,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925 : 2,655.27 = 1,138.49 : x
  2. Step 2: Convert to fraction form
    1,925/2,655.27 = 1,138.49/x
  3. Step 3: Cross multiply
    1,925x = 2,655.27 × 1,138.49
  4. Step 4: Simplify right side
    1,925x = 3,022,998.34
  5. Step 5: Solve for x
    x = 3,022,998.34/1,925
  6. Step 6: Final answer
    x = 1,570.39

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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.