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Finding the Fourth Proportional to 10,525.55, 14,540.21 and 8,415.09

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Solution

The fourth proportional to 10,525.55, 14,540.21 and 8,415.09 is: 11,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.55 : 14,540.21 = 8,415.09 : x
  2. Step 2: Convert to fraction form
    10,525.55/14,540.21 = 8,415.09/x
  3. Step 3: Cross multiply
    10,525.55x = 14,540.21 × 8,415.09
  4. Step 4: Simplify right side
    10,525.55x = 122,357,165.25
  5. Step 5: Solve for x
    x = 122,357,165.25/10,525.55
  6. Step 6: Final answer
    x = 11,624.78

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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.