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Finding the Fourth Proportional to 1,893.88, 2,613.50 and 1,054.55

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Solution

The fourth proportional to 1,893.88, 2,613.50 and 1,054.55 is: 1,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.88 : 2,613.50 = 1,054.55 : x
  2. Step 2: Convert to fraction form
    1,893.88/2,613.50 = 1,054.55/x
  3. Step 3: Cross multiply
    1,893.88x = 2,613.50 × 1,054.55
  4. Step 4: Simplify right side
    1,893.88x = 2,756,071.64
  5. Step 5: Solve for x
    x = 2,756,071.64/1,893.88
  6. Step 6: Final answer
    x = 1,455.25

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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.