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Finding the Fourth Proportional to 6,483, 9,723.96 and 1,866

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Solution

The fourth proportional to 6,483, 9,723.96 and 1,866 is: 2,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 9,723.96 = 1,866 : x
  2. Step 2: Convert to fraction form
    6,483/9,723.96 = 1,866/x
  3. Step 3: Cross multiply
    6,483x = 9,723.96 × 1,866
  4. Step 4: Simplify right side
    6,483x = 18,144,909.36
  5. Step 5: Solve for x
    x = 18,144,909.36/6,483
  6. Step 6: Final answer
    x = 2,798.84

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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.