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Finding the Fourth Proportional to 5,556, 7,668.08 and 3,432.64

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Solution

The fourth proportional to 5,556, 7,668.08 and 3,432.64 is: 4,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556 : 7,668.08 = 3,432.64 : x
  2. Step 2: Convert to fraction form
    5,556/7,668.08 = 3,432.64/x
  3. Step 3: Cross multiply
    5,556x = 7,668.08 × 3,432.64
  4. Step 4: Simplify right side
    5,556x = 26,321,758.13
  5. Step 5: Solve for x
    x = 26,321,758.13/5,556
  6. Step 6: Final answer
    x = 4,737.54

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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.