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Finding the Fourth Proportional to 20,478.58, 30,678.48 and 12,557.98

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Solution

The fourth proportional to 20,478.58, 30,678.48 and 12,557.98 is: 18,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.58 : 30,678.48 = 12,557.98 : x
  2. Step 2: Convert to fraction form
    20,478.58/30,678.48 = 12,557.98/x
  3. Step 3: Cross multiply
    20,478.58x = 30,678.48 × 12,557.98
  4. Step 4: Simplify right side
    20,478.58x = 385,259,738.27
  5. Step 5: Solve for x
    x = 385,259,738.27/20,478.58
  6. Step 6: Final answer
    x = 18,812.82

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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.