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Finding the Fourth Proportional to 8,438.96, 12,658.64 and 2,892.26

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Solution

The fourth proportional to 8,438.96, 12,658.64 and 2,892.26 is: 4,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.96 : 12,658.64 = 2,892.26 : x
  2. Step 2: Convert to fraction form
    8,438.96/12,658.64 = 2,892.26/x
  3. Step 3: Cross multiply
    8,438.96x = 12,658.64 × 2,892.26
  4. Step 4: Simplify right side
    8,438.96x = 36,612,117.00
  5. Step 5: Solve for x
    x = 36,612,117.00/8,438.96
  6. Step 6: Final answer
    x = 4,338.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.