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Finding the Fourth Proportional to 3,506, 4,838.16 and 1,934

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Solution

The fourth proportional to 3,506, 4,838.16 and 1,934 is: 2,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506 : 4,838.16 = 1,934 : x
  2. Step 2: Convert to fraction form
    3,506/4,838.16 = 1,934/x
  3. Step 3: Cross multiply
    3,506x = 4,838.16 × 1,934
  4. Step 4: Simplify right side
    3,506x = 9,357,001.44
  5. Step 5: Solve for x
    x = 9,357,001.44/3,506
  6. Step 6: Final answer
    x = 2,668.85

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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.