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Finding the Fourth Proportional to 20,416.84, 30,637.12 and 7,945.48

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Solution

The fourth proportional to 20,416.84, 30,637.12 and 7,945.48 is: 11,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.84 : 30,637.12 = 7,945.48 : x
  2. Step 2: Convert to fraction form
    20,416.84/30,637.12 = 7,945.48/x
  3. Step 3: Cross multiply
    20,416.84x = 30,637.12 × 7,945.48
  4. Step 4: Simplify right side
    20,416.84x = 243,426,624.22
  5. Step 5: Solve for x
    x = 243,426,624.22/20,416.84
  6. Step 6: Final answer
    x = 11,922.84

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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.