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Finding the Fourth Proportional to 8,411, 11,609.56 and 5,054.88

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Solution

The fourth proportional to 8,411, 11,609.56 and 5,054.88 is: 6,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411 : 11,609.56 = 5,054.88 : x
  2. Step 2: Convert to fraction form
    8,411/11,609.56 = 5,054.88/x
  3. Step 3: Cross multiply
    8,411x = 11,609.56 × 5,054.88
  4. Step 4: Simplify right side
    8,411x = 58,684,932.65
  5. Step 5: Solve for x
    x = 58,684,932.65/8,411
  6. Step 6: Final answer
    x = 6,977.16

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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.