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Finding the Fourth Proportional to 10,057, 13,878.82 and 5,641

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Solution

The fourth proportional to 10,057, 13,878.82 and 5,641 is: 7,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057 : 13,878.82 = 5,641 : x
  2. Step 2: Convert to fraction form
    10,057/13,878.82 = 5,641/x
  3. Step 3: Cross multiply
    10,057x = 13,878.82 × 5,641
  4. Step 4: Simplify right side
    10,057x = 78,290,423.62
  5. Step 5: Solve for x
    x = 78,290,423.62/10,057
  6. Step 6: Final answer
    x = 7,784.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.