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Finding the Fourth Proportional to 8,438.63, 11,644.71 and 4,902.17

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Solution

The fourth proportional to 8,438.63, 11,644.71 and 4,902.17 is: 6,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.63 : 11,644.71 = 4,902.17 : x
  2. Step 2: Convert to fraction form
    8,438.63/11,644.71 = 4,902.17/x
  3. Step 3: Cross multiply
    8,438.63x = 11,644.71 × 4,902.17
  4. Step 4: Simplify right side
    8,438.63x = 57,084,348.02
  5. Step 5: Solve for x
    x = 57,084,348.02/8,438.63
  6. Step 6: Final answer
    x = 6,764.65

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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.