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Finding the Fourth Proportional to 1,420.20, 1,959.12 and 1,254.42

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Solution

The fourth proportional to 1,420.20, 1,959.12 and 1,254.42 is: 1,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.20 : 1,959.12 = 1,254.42 : x
  2. Step 2: Convert to fraction form
    1,420.20/1,959.12 = 1,254.42/x
  3. Step 3: Cross multiply
    1,420.20x = 1,959.12 × 1,254.42
  4. Step 4: Simplify right side
    1,420.20x = 2,457,559.31
  5. Step 5: Solve for x
    x = 2,457,559.31/1,420.20
  6. Step 6: Final answer
    x = 1,730.43

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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.