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Finding the Fourth Proportional to 11,271.80, 16,907.70 and 4,702.70

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Solution

The fourth proportional to 11,271.80, 16,907.70 and 4,702.70 is: 7,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.80 : 16,907.70 = 4,702.70 : x
  2. Step 2: Convert to fraction form
    11,271.80/16,907.70 = 4,702.70/x
  3. Step 3: Cross multiply
    11,271.80x = 16,907.70 × 4,702.70
  4. Step 4: Simplify right side
    11,271.80x = 79,511,840.79
  5. Step 5: Solve for x
    x = 79,511,840.79/11,271.80
  6. Step 6: Final answer
    x = 7,054.05

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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.