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Finding the Fourth Proportional to 6,842.70, 9,442.93 and 3,698.89

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Solution

The fourth proportional to 6,842.70, 9,442.93 and 3,698.89 is: 5,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.70 : 9,442.93 = 3,698.89 : x
  2. Step 2: Convert to fraction form
    6,842.70/9,442.93 = 3,698.89/x
  3. Step 3: Cross multiply
    6,842.70x = 9,442.93 × 3,698.89
  4. Step 4: Simplify right side
    6,842.70x = 34,928,359.35
  5. Step 5: Solve for x
    x = 34,928,359.35/6,842.70
  6. Step 6: Final answer
    x = 5,104.47

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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.