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Finding the Fourth Proportional to 2,142.50, 2,959.08 and 1,442.66

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Solution

The fourth proportional to 2,142.50, 2,959.08 and 1,442.66 is: 1,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.50 : 2,959.08 = 1,442.66 : x
  2. Step 2: Convert to fraction form
    2,142.50/2,959.08 = 1,442.66/x
  3. Step 3: Cross multiply
    2,142.50x = 2,959.08 × 1,442.66
  4. Step 4: Simplify right side
    2,142.50x = 4,268,946.35
  5. Step 5: Solve for x
    x = 4,268,946.35/2,142.50
  6. Step 6: Final answer
    x = 1,992.51

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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.