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Finding the Fourth Proportional to 7,868, 10,858.80 and 4,556

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Solution

The fourth proportional to 7,868, 10,858.80 and 4,556 is: 6,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 10,858.80 = 4,556 : x
  2. Step 2: Convert to fraction form
    7,868/10,858.80 = 4,556/x
  3. Step 3: Cross multiply
    7,868x = 10,858.80 × 4,556
  4. Step 4: Simplify right side
    7,868x = 49,472,692.80
  5. Step 5: Solve for x
    x = 49,472,692.80/7,868
  6. Step 6: Final answer
    x = 6,287.84

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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.