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Finding the Fourth Proportional to 4,856, 6,702.06 and 2,761.40

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Solution

The fourth proportional to 4,856, 6,702.06 and 2,761.40 is: 3,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856 : 6,702.06 = 2,761.40 : x
  2. Step 2: Convert to fraction form
    4,856/6,702.06 = 2,761.40/x
  3. Step 3: Cross multiply
    4,856x = 6,702.06 × 2,761.40
  4. Step 4: Simplify right side
    4,856x = 18,507,068.48
  5. Step 5: Solve for x
    x = 18,507,068.48/4,856
  6. Step 6: Final answer
    x = 3,811.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.