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Finding the Fourth Proportional to 5,407.02, 7,461.72 and 3,418.47

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Solution

The fourth proportional to 5,407.02, 7,461.72 and 3,418.47 is: 4,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.02 : 7,461.72 = 3,418.47 : x
  2. Step 2: Convert to fraction form
    5,407.02/7,461.72 = 3,418.47/x
  3. Step 3: Cross multiply
    5,407.02x = 7,461.72 × 3,418.47
  4. Step 4: Simplify right side
    5,407.02x = 25,507,665.97
  5. Step 5: Solve for x
    x = 25,507,665.97/5,407.02
  6. Step 6: Final answer
    x = 4,717.51

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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.