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Finding the Fourth Proportional to 8,405.54, 11,601.03 and 6,412.34

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Solution

The fourth proportional to 8,405.54, 11,601.03 and 6,412.34 is: 8,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.54 : 11,601.03 = 6,412.34 : x
  2. Step 2: Convert to fraction form
    8,405.54/11,601.03 = 6,412.34/x
  3. Step 3: Cross multiply
    8,405.54x = 11,601.03 × 6,412.34
  4. Step 4: Simplify right side
    8,405.54x = 74,389,714.75
  5. Step 5: Solve for x
    x = 74,389,714.75/8,405.54
  6. Step 6: Final answer
    x = 8,850.08

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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.