Home / 1,705.36-2,542.88-1,702.12

Finding the Fourth Proportional to 1,705.36, 2,542.88 and 1,702.12

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Solution

The fourth proportional to 1,705.36, 2,542.88 and 1,702.12 is: 2,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.36 : 2,542.88 = 1,702.12 : x
  2. Step 2: Convert to fraction form
    1,705.36/2,542.88 = 1,702.12/x
  3. Step 3: Cross multiply
    1,705.36x = 2,542.88 × 1,702.12
  4. Step 4: Simplify right side
    1,705.36x = 4,328,286.91
  5. Step 5: Solve for x
    x = 4,328,286.91/1,705.36
  6. Step 6: Final answer
    x = 2,538.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.