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Finding the Fourth Proportional to 8,774.69, 13,153.16 and 3,780.32

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Solution

The fourth proportional to 8,774.69, 13,153.16 and 3,780.32 is: 5,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.69 : 13,153.16 = 3,780.32 : x
  2. Step 2: Convert to fraction form
    8,774.69/13,153.16 = 3,780.32/x
  3. Step 3: Cross multiply
    8,774.69x = 13,153.16 × 3,780.32
  4. Step 4: Simplify right side
    8,774.69x = 49,723,088.05
  5. Step 5: Solve for x
    x = 49,723,088.05/8,774.69
  6. Step 6: Final answer
    x = 5,666.65

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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.