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Finding the Fourth Proportional to 1,886.36, 2,829.60 and 716.18

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Solution

The fourth proportional to 1,886.36, 2,829.60 and 716.18 is: 1,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.36 : 2,829.60 = 716.18 : x
  2. Step 2: Convert to fraction form
    1,886.36/2,829.60 = 716.18/x
  3. Step 3: Cross multiply
    1,886.36x = 2,829.60 × 716.18
  4. Step 4: Simplify right side
    1,886.36x = 2,026,488.78
  5. Step 5: Solve for x
    x = 2,026,488.78/1,886.36
  6. Step 6: Final answer
    x = 1,074.29

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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.