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Finding the Fourth Proportional to 5,674.78, 7,830.56 and 3,405.66

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Solution

The fourth proportional to 5,674.78, 7,830.56 and 3,405.66 is: 4,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.78 : 7,830.56 = 3,405.66 : x
  2. Step 2: Convert to fraction form
    5,674.78/7,830.56 = 3,405.66/x
  3. Step 3: Cross multiply
    5,674.78x = 7,830.56 × 3,405.66
  4. Step 4: Simplify right side
    5,674.78x = 26,668,229.01
  5. Step 5: Solve for x
    x = 26,668,229.01/5,674.78
  6. Step 6: Final answer
    x = 4,699.43

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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.