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Finding the Fourth Proportional to 2,702.88, 4,053.84 and 971.28

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Solution

The fourth proportional to 2,702.88, 4,053.84 and 971.28 is: 1,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.88 : 4,053.84 = 971.28 : x
  2. Step 2: Convert to fraction form
    2,702.88/4,053.84 = 971.28/x
  3. Step 3: Cross multiply
    2,702.88x = 4,053.84 × 971.28
  4. Step 4: Simplify right side
    2,702.88x = 3,937,413.72
  5. Step 5: Solve for x
    x = 3,937,413.72/2,702.88
  6. Step 6: Final answer
    x = 1,456.75

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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.