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Finding the Fourth Proportional to 13,310.88, 19,978.58 and 6,741.64

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Solution

The fourth proportional to 13,310.88, 19,978.58 and 6,741.64 is: 10,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.88 : 19,978.58 = 6,741.64 : x
  2. Step 2: Convert to fraction form
    13,310.88/19,978.58 = 6,741.64/x
  3. Step 3: Cross multiply
    13,310.88x = 19,978.58 × 6,741.64
  4. Step 4: Simplify right side
    13,310.88x = 134,688,394.07
  5. Step 5: Solve for x
    x = 134,688,394.07/13,310.88
  6. Step 6: Final answer
    x = 10,118.67

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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.