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Finding the Fourth Proportional to 5,628.74, 7,770.38 and 3,743.47

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Solution

The fourth proportional to 5,628.74, 7,770.38 and 3,743.47 is: 5,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.74 : 7,770.38 = 3,743.47 : x
  2. Step 2: Convert to fraction form
    5,628.74/7,770.38 = 3,743.47/x
  3. Step 3: Cross multiply
    5,628.74x = 7,770.38 × 3,743.47
  4. Step 4: Simplify right side
    5,628.74x = 29,088,152.76
  5. Step 5: Solve for x
    x = 29,088,152.76/5,628.74
  6. Step 6: Final answer
    x = 5,167.79

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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.