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Finding the Fourth Proportional to 13,878.10, 20,819.94 and 5,113.06

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Solution

The fourth proportional to 13,878.10, 20,819.94 and 5,113.06 is: 7,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.10 : 20,819.94 = 5,113.06 : x
  2. Step 2: Convert to fraction form
    13,878.10/20,819.94 = 5,113.06/x
  3. Step 3: Cross multiply
    13,878.10x = 20,819.94 × 5,113.06
  4. Step 4: Simplify right side
    13,878.10x = 106,453,602.42
  5. Step 5: Solve for x
    x = 106,453,602.42/13,878.10
  6. Step 6: Final answer
    x = 7,670.62

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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.