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Finding the Fourth Proportional to 5,776.74, 7,973.10 and 3,783.60

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Solution

The fourth proportional to 5,776.74, 7,973.10 and 3,783.60 is: 5,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.74 : 7,973.10 = 3,783.60 : x
  2. Step 2: Convert to fraction form
    5,776.74/7,973.10 = 3,783.60/x
  3. Step 3: Cross multiply
    5,776.74x = 7,973.10 × 3,783.60
  4. Step 4: Simplify right side
    5,776.74x = 30,167,021.16
  5. Step 5: Solve for x
    x = 30,167,021.16/5,776.74
  6. Step 6: Final answer
    x = 5,222.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.