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Finding the Fourth Proportional to 6,458.43, 9,684.76 and 1,840.35

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Solution

The fourth proportional to 6,458.43, 9,684.76 and 1,840.35 is: 2,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.43 : 9,684.76 = 1,840.35 : x
  2. Step 2: Convert to fraction form
    6,458.43/9,684.76 = 1,840.35/x
  3. Step 3: Cross multiply
    6,458.43x = 9,684.76 × 1,840.35
  4. Step 4: Simplify right side
    6,458.43x = 17,823,348.07
  5. Step 5: Solve for x
    x = 17,823,348.07/6,458.43
  6. Step 6: Final answer
    x = 2,759.70

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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.