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Finding the Fourth Proportional to 2,069, 2,853.56 and 1,405.60

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Solution

The fourth proportional to 2,069, 2,853.56 and 1,405.60 is: 1,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 2,853.56 = 1,405.60 : x
  2. Step 2: Convert to fraction form
    2,069/2,853.56 = 1,405.60/x
  3. Step 3: Cross multiply
    2,069x = 2,853.56 × 1,405.60
  4. Step 4: Simplify right side
    2,069x = 4,010,963.94
  5. Step 5: Solve for x
    x = 4,010,963.94/2,069
  6. Step 6: Final answer
    x = 1,938.60

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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.