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Finding the Fourth Proportional to 1,886.26, 2,603.02 and 1,100.42

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Solution

The fourth proportional to 1,886.26, 2,603.02 and 1,100.42 is: 1,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.26 : 2,603.02 = 1,100.42 : x
  2. Step 2: Convert to fraction form
    1,886.26/2,603.02 = 1,100.42/x
  3. Step 3: Cross multiply
    1,886.26x = 2,603.02 × 1,100.42
  4. Step 4: Simplify right side
    1,886.26x = 2,864,415.27
  5. Step 5: Solve for x
    x = 2,864,415.27/1,886.26
  6. Step 6: Final answer
    x = 1,518.57

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1.5x scale

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.