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Finding the Fourth Proportional to 12,604.68, 17,400.42 and 8,415.72

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Solution

The fourth proportional to 12,604.68, 17,400.42 and 8,415.72 is: 11,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.68 : 17,400.42 = 8,415.72 : x
  2. Step 2: Convert to fraction form
    12,604.68/17,400.42 = 8,415.72/x
  3. Step 3: Cross multiply
    12,604.68x = 17,400.42 × 8,415.72
  4. Step 4: Simplify right side
    12,604.68x = 146,437,062.60
  5. Step 5: Solve for x
    x = 146,437,062.60/12,604.68
  6. Step 6: Final answer
    x = 11,617.67

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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.