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Finding the Fourth Proportional to 7,863.80, 10,852.02 and 4,719.98

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Solution

The fourth proportional to 7,863.80, 10,852.02 and 4,719.98 is: 6,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.80 : 10,852.02 = 4,719.98 : x
  2. Step 2: Convert to fraction form
    7,863.80/10,852.02 = 4,719.98/x
  3. Step 3: Cross multiply
    7,863.80x = 10,852.02 × 4,719.98
  4. Step 4: Simplify right side
    7,863.80x = 51,221,317.36
  5. Step 5: Solve for x
    x = 51,221,317.36/7,863.80
  6. Step 6: Final answer
    x = 6,513.56

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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.