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Finding the Fourth Proportional to 3,420.09, 5,130.13 and 823.02

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Solution

The fourth proportional to 3,420.09, 5,130.13 and 823.02 is: 1,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.09 : 5,130.13 = 823.02 : x
  2. Step 2: Convert to fraction form
    3,420.09/5,130.13 = 823.02/x
  3. Step 3: Cross multiply
    3,420.09x = 5,130.13 × 823.02
  4. Step 4: Simplify right side
    3,420.09x = 4,222,199.59
  5. Step 5: Solve for x
    x = 4,222,199.59/3,420.09
  6. Step 6: Final answer
    x = 1,234.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.