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Finding the Fourth Proportional to 8,421.02, 11,621.09 and 4,644.34

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Solution

The fourth proportional to 8,421.02, 11,621.09 and 4,644.34 is: 6,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.02 : 11,621.09 = 4,644.34 : x
  2. Step 2: Convert to fraction form
    8,421.02/11,621.09 = 4,644.34/x
  3. Step 3: Cross multiply
    8,421.02x = 11,621.09 × 4,644.34
  4. Step 4: Simplify right side
    8,421.02x = 53,972,258.27
  5. Step 5: Solve for x
    x = 53,972,258.27/8,421.02
  6. Step 6: Final answer
    x = 6,409.23

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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.