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Finding the Fourth Proportional to 30,663.37, 45,994.14 and 8,478.08

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Solution

The fourth proportional to 30,663.37, 45,994.14 and 8,478.08 is: 12,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.37 : 45,994.14 = 8,478.08 : x
  2. Step 2: Convert to fraction form
    30,663.37/45,994.14 = 8,478.08/x
  3. Step 3: Cross multiply
    30,663.37x = 45,994.14 × 8,478.08
  4. Step 4: Simplify right side
    30,663.37x = 389,941,998.45
  5. Step 5: Solve for x
    x = 389,941,998.45/30,663.37
  6. Step 6: Final answer
    x = 12,716.87

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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.