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Finding the Fourth Proportional to 4,966, 6,853.17 and 2,870.80

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Solution

The fourth proportional to 4,966, 6,853.17 and 2,870.80 is: 3,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 6,853.17 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    4,966/6,853.17 = 2,870.80/x
  3. Step 3: Cross multiply
    4,966x = 6,853.17 × 2,870.80
  4. Step 4: Simplify right side
    4,966x = 19,674,080.44
  5. Step 5: Solve for x
    x = 19,674,080.44/4,966
  6. Step 6: Final answer
    x = 3,961.76

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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.