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Finding the Fourth Proportional to 7,647.58, 10,556.90 and 4,664.49

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Solution

The fourth proportional to 7,647.58, 10,556.90 and 4,664.49 is: 6,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.58 : 10,556.90 = 4,664.49 : x
  2. Step 2: Convert to fraction form
    7,647.58/10,556.90 = 4,664.49/x
  3. Step 3: Cross multiply
    7,647.58x = 10,556.90 × 4,664.49
  4. Step 4: Simplify right side
    7,647.58x = 49,242,554.48
  5. Step 5: Solve for x
    x = 49,242,554.48/7,647.58
  6. Step 6: Final answer
    x = 6,438.97

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1.5x scale

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.