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Finding the Fourth Proportional to 2,702.81, 4,054.25 and 971.44

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Solution

The fourth proportional to 2,702.81, 4,054.25 and 971.44 is: 1,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.81 : 4,054.25 = 971.44 : x
  2. Step 2: Convert to fraction form
    2,702.81/4,054.25 = 971.44/x
  3. Step 3: Cross multiply
    2,702.81x = 4,054.25 × 971.44
  4. Step 4: Simplify right side
    2,702.81x = 3,938,452.91
  5. Step 5: Solve for x
    x = 3,938,452.91/2,702.81
  6. Step 6: Final answer
    x = 1,457.17

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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.