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Finding the Fourth Proportional to 2,094.40, 3,139.80 and 1,068.40

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Solution

The fourth proportional to 2,094.40, 3,139.80 and 1,068.40 is: 1,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.40 : 3,139.80 = 1,068.40 : x
  2. Step 2: Convert to fraction form
    2,094.40/3,139.80 = 1,068.40/x
  3. Step 3: Cross multiply
    2,094.40x = 3,139.80 × 1,068.40
  4. Step 4: Simplify right side
    2,094.40x = 3,354,562.32
  5. Step 5: Solve for x
    x = 3,354,562.32/2,094.40
  6. Step 6: Final answer
    x = 1,601.68

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Why These Related Problems?

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