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Finding the Fourth Proportional to 3,777.90, 5,668.59 and 1,698.47

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Solution

The fourth proportional to 3,777.90, 5,668.59 and 1,698.47 is: 2,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.90 : 5,668.59 = 1,698.47 : x
  2. Step 2: Convert to fraction form
    3,777.90/5,668.59 = 1,698.47/x
  3. Step 3: Cross multiply
    3,777.90x = 5,668.59 × 1,698.47
  4. Step 4: Simplify right side
    3,777.90x = 9,627,901.71
  5. Step 5: Solve for x
    x = 9,627,901.71/3,777.90
  6. Step 6: Final answer
    x = 2,548.48

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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.