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Finding the Fourth Proportional to 9,745.92, 14,584.86 and 7,970.40

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Solution

The fourth proportional to 9,745.92, 14,584.86 and 7,970.40 is: 11,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.92 : 14,584.86 = 7,970.40 : x
  2. Step 2: Convert to fraction form
    9,745.92/14,584.86 = 7,970.40/x
  3. Step 3: Cross multiply
    9,745.92x = 14,584.86 × 7,970.40
  4. Step 4: Simplify right side
    9,745.92x = 116,247,168.14
  5. Step 5: Solve for x
    x = 116,247,168.14/9,745.92
  6. Step 6: Final answer
    x = 11,927.78

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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.