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Finding the Fourth Proportional to 13,457.90, 20,159.03 and 7,894.49

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Solution

The fourth proportional to 13,457.90, 20,159.03 and 7,894.49 is: 11,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.90 : 20,159.03 = 7,894.49 : x
  2. Step 2: Convert to fraction form
    13,457.90/20,159.03 = 7,894.49/x
  3. Step 3: Cross multiply
    13,457.90x = 20,159.03 × 7,894.49
  4. Step 4: Simplify right side
    13,457.90x = 159,145,179.69
  5. Step 5: Solve for x
    x = 159,145,179.69/13,457.90
  6. Step 6: Final answer
    x = 11,825.41

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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.