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Finding the Fourth Proportional to 14,581, 20,121.78 and 7,957

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Solution

The fourth proportional to 14,581, 20,121.78 and 7,957 is: 10,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581 : 20,121.78 = 7,957 : x
  2. Step 2: Convert to fraction form
    14,581/20,121.78 = 7,957/x
  3. Step 3: Cross multiply
    14,581x = 20,121.78 × 7,957
  4. Step 4: Simplify right side
    14,581x = 160,109,003.46
  5. Step 5: Solve for x
    x = 160,109,003.46/14,581
  6. Step 6: Final answer
    x = 10,980.66

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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.