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Finding the Fourth Proportional to 13,913.64, 20,858.94 and 6,995.88

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Solution

The fourth proportional to 13,913.64, 20,858.94 and 6,995.88 is: 10,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.64 : 20,858.94 = 6,995.88 : x
  2. Step 2: Convert to fraction form
    13,913.64/20,858.94 = 6,995.88/x
  3. Step 3: Cross multiply
    13,913.64x = 20,858.94 × 6,995.88
  4. Step 4: Simplify right side
    13,913.64x = 145,926,641.17
  5. Step 5: Solve for x
    x = 145,926,641.17/13,913.64
  6. Step 6: Final answer
    x = 10,488.03

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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.