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Finding the Fourth Proportional to 9,759, 14,628.78 and 5,378.52

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Solution

The fourth proportional to 9,759, 14,628.78 and 5,378.52 is: 8,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 14,628.78 = 5,378.52 : x
  2. Step 2: Convert to fraction form
    9,759/14,628.78 = 5,378.52/x
  3. Step 3: Cross multiply
    9,759x = 14,628.78 × 5,378.52
  4. Step 4: Simplify right side
    9,759x = 78,681,185.81
  5. Step 5: Solve for x
    x = 78,681,185.81/9,759
  6. Step 6: Final answer
    x = 8,062.42

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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.