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Finding the Fourth Proportional to 3,012.60, 4,157.16 and 1,686

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Solution

The fourth proportional to 3,012.60, 4,157.16 and 1,686 is: 2,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.60 : 4,157.16 = 1,686 : x
  2. Step 2: Convert to fraction form
    3,012.60/4,157.16 = 1,686/x
  3. Step 3: Cross multiply
    3,012.60x = 4,157.16 × 1,686
  4. Step 4: Simplify right side
    3,012.60x = 7,008,971.76
  5. Step 5: Solve for x
    x = 7,008,971.76/3,012.60
  6. Step 6: Final answer
    x = 2,326.55

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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.