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Finding the Fourth Proportional to 1,958.15, 2,702.29 and 1,074

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Solution

The fourth proportional to 1,958.15, 2,702.29 and 1,074 is: 1,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.15 : 2,702.29 = 1,074 : x
  2. Step 2: Convert to fraction form
    1,958.15/2,702.29 = 1,074/x
  3. Step 3: Cross multiply
    1,958.15x = 2,702.29 × 1,074
  4. Step 4: Simplify right side
    1,958.15x = 2,902,256.78
  5. Step 5: Solve for x
    x = 2,902,256.78/1,958.15
  6. Step 6: Final answer
    x = 1,482.14

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Why These Related Problems?

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