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Finding the Fourth Proportional to 9,759.78, 14,638.59 and 7,823.70

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Solution

The fourth proportional to 9,759.78, 14,638.59 and 7,823.70 is: 11,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.78 : 14,638.59 = 7,823.70 : x
  2. Step 2: Convert to fraction form
    9,759.78/14,638.59 = 7,823.70/x
  3. Step 3: Cross multiply
    9,759.78x = 14,638.59 × 7,823.70
  4. Step 4: Simplify right side
    9,759.78x = 114,527,936.58
  5. Step 5: Solve for x
    x = 114,527,936.58/9,759.78
  6. Step 6: Final answer
    x = 11,734.68

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1.5x scale

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.