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Finding the Fourth Proportional to 14,505, 20,017.06 and 7,881

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Solution

The fourth proportional to 14,505, 20,017.06 and 7,881 is: 10,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505 : 20,017.06 = 7,881 : x
  2. Step 2: Convert to fraction form
    14,505/20,017.06 = 7,881/x
  3. Step 3: Cross multiply
    14,505x = 20,017.06 × 7,881
  4. Step 4: Simplify right side
    14,505x = 157,754,449.86
  5. Step 5: Solve for x
    x = 157,754,449.86/14,505
  6. Step 6: Final answer
    x = 10,875.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.