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Finding the Fourth Proportional to 13,926.12, 20,890.02 and 5,606.10

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Solution

The fourth proportional to 13,926.12, 20,890.02 and 5,606.10 is: 8,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.12 : 20,890.02 = 5,606.10 : x
  2. Step 2: Convert to fraction form
    13,926.12/20,890.02 = 5,606.10/x
  3. Step 3: Cross multiply
    13,926.12x = 20,890.02 × 5,606.10
  4. Step 4: Simplify right side
    13,926.12x = 117,111,541.12
  5. Step 5: Solve for x
    x = 117,111,541.12/13,926.12
  6. Step 6: Final answer
    x = 8,409.49

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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.