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Finding the Fourth Proportional to 30,625.68, 45,947.16 and 12,170.64

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Solution

The fourth proportional to 30,625.68, 45,947.16 and 12,170.64 is: 18,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.68 : 45,947.16 = 12,170.64 : x
  2. Step 2: Convert to fraction form
    30,625.68/45,947.16 = 12,170.64/x
  3. Step 3: Cross multiply
    30,625.68x = 45,947.16 × 12,170.64
  4. Step 4: Simplify right side
    30,625.68x = 559,206,343.38
  5. Step 5: Solve for x
    x = 559,206,343.38/30,625.68
  6. Step 6: Final answer
    x = 18,259.39

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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.