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Finding the Fourth Proportional to 9,780.75, 14,671.13 and 3,941.46

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Solution

The fourth proportional to 9,780.75, 14,671.13 and 3,941.46 is: 5,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 14,671.13 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    9,780.75/14,671.13 = 3,941.46/x
  3. Step 3: Cross multiply
    9,780.75x = 14,671.13 × 3,941.46
  4. Step 4: Simplify right side
    9,780.75x = 57,825,652.34
  5. Step 5: Solve for x
    x = 57,825,652.34/9,780.75
  6. Step 6: Final answer
    x = 5,912.19

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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.