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Finding the Fourth Proportional to 3,091, 4,265.62 and 1,693.80

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Solution

The fourth proportional to 3,091, 4,265.62 and 1,693.80 is: 2,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 4,265.62 = 1,693.80 : x
  2. Step 2: Convert to fraction form
    3,091/4,265.62 = 1,693.80/x
  3. Step 3: Cross multiply
    3,091x = 4,265.62 × 1,693.80
  4. Step 4: Simplify right side
    3,091x = 7,225,107.16
  5. Step 5: Solve for x
    x = 7,225,107.16/3,091
  6. Step 6: Final answer
    x = 2,337.47

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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.