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Finding the Fourth Proportional to 8,420.71, 11,621.24 and 4,644.22

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Solution

The fourth proportional to 8,420.71, 11,621.24 and 4,644.22 is: 6,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.71 : 11,621.24 = 4,644.22 : x
  2. Step 2: Convert to fraction form
    8,420.71/11,621.24 = 4,644.22/x
  3. Step 3: Cross multiply
    8,420.71x = 11,621.24 × 4,644.22
  4. Step 4: Simplify right side
    8,420.71x = 53,971,560.37
  5. Step 5: Solve for x
    x = 53,971,560.37/8,420.71
  6. Step 6: Final answer
    x = 6,409.39

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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.