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Finding the Fourth Proportional to 8,415.97, 11,609.77 and 6,423.07

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Solution

The fourth proportional to 8,415.97, 11,609.77 and 6,423.07 is: 8,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.97 : 11,609.77 = 6,423.07 : x
  2. Step 2: Convert to fraction form
    8,415.97/11,609.77 = 6,423.07/x
  3. Step 3: Cross multiply
    8,415.97x = 11,609.77 × 6,423.07
  4. Step 4: Simplify right side
    8,415.97x = 74,570,354.12
  5. Step 5: Solve for x
    x = 74,570,354.12/8,415.97
  6. Step 6: Final answer
    x = 8,860.57

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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.