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Finding the Fourth Proportional to 6,483, 8,946.54 and 3,539

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Solution

The fourth proportional to 6,483, 8,946.54 and 3,539 is: 4,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 8,946.54 = 3,539 : x
  2. Step 2: Convert to fraction form
    6,483/8,946.54 = 3,539/x
  3. Step 3: Cross multiply
    6,483x = 8,946.54 × 3,539
  4. Step 4: Simplify right side
    6,483x = 31,661,805.06
  5. Step 5: Solve for x
    x = 31,661,805.06/6,483
  6. Step 6: Final answer
    x = 4,883.82

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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.