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Finding the Fourth Proportional to 5,668.47, 7,823.93 and 3,780.63

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Solution

The fourth proportional to 5,668.47, 7,823.93 and 3,780.63 is: 5,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.47 : 7,823.93 = 3,780.63 : x
  2. Step 2: Convert to fraction form
    5,668.47/7,823.93 = 3,780.63/x
  3. Step 3: Cross multiply
    5,668.47x = 7,823.93 × 3,780.63
  4. Step 4: Simplify right side
    5,668.47x = 29,579,365.57
  5. Step 5: Solve for x
    x = 29,579,365.57/5,668.47
  6. Step 6: Final answer
    x = 5,218.23

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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.