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Finding the Fourth Proportional to 3,304.86, 4,957.45 and 839.69

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Solution

The fourth proportional to 3,304.86, 4,957.45 and 839.69 is: 1,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.86 : 4,957.45 = 839.69 : x
  2. Step 2: Convert to fraction form
    3,304.86/4,957.45 = 839.69/x
  3. Step 3: Cross multiply
    3,304.86x = 4,957.45 × 839.69
  4. Step 4: Simplify right side
    3,304.86x = 4,162,721.19
  5. Step 5: Solve for x
    x = 4,162,721.19/3,304.86
  6. Step 6: Final answer
    x = 1,259.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.