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Finding the Fourth Proportional to 9,903.75, 14,856.84 and 2,978.25

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Solution

The fourth proportional to 9,903.75, 14,856.84 and 2,978.25 is: 4,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.75 : 14,856.84 = 2,978.25 : x
  2. Step 2: Convert to fraction form
    9,903.75/14,856.84 = 2,978.25/x
  3. Step 3: Cross multiply
    9,903.75x = 14,856.84 × 2,978.25
  4. Step 4: Simplify right side
    9,903.75x = 44,247,383.73
  5. Step 5: Solve for x
    x = 44,247,383.73/9,903.75
  6. Step 6: Final answer
    x = 4,467.74

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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.