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Finding the Fourth Proportional to 2,702.65, 4,054.31 and 853.49

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Solution

The fourth proportional to 2,702.65, 4,054.31 and 853.49 is: 1,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.65 : 4,054.31 = 853.49 : x
  2. Step 2: Convert to fraction form
    2,702.65/4,054.31 = 853.49/x
  3. Step 3: Cross multiply
    2,702.65x = 4,054.31 × 853.49
  4. Step 4: Simplify right side
    2,702.65x = 3,460,313.04
  5. Step 5: Solve for x
    x = 3,460,313.04/2,702.65
  6. Step 6: Final answer
    x = 1,280.34

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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.