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Finding the Fourth Proportional to 30,522.86, 45,780.77 and 8,338.02

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Solution

The fourth proportional to 30,522.86, 45,780.77 and 8,338.02 is: 12,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.86 : 45,780.77 = 8,338.02 : x
  2. Step 2: Convert to fraction form
    30,522.86/45,780.77 = 8,338.02/x
  3. Step 3: Cross multiply
    30,522.86x = 45,780.77 × 8,338.02
  4. Step 4: Simplify right side
    30,522.86x = 381,720,934.19
  5. Step 5: Solve for x
    x = 381,720,934.19/30,522.86
  6. Step 6: Final answer
    x = 12,506.07

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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.