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Finding the Fourth Proportional to 14,510, 20,023.80 and 7,886

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Solution

The fourth proportional to 14,510, 20,023.80 and 7,886 is: 10,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510 : 20,023.80 = 7,886 : x
  2. Step 2: Convert to fraction form
    14,510/20,023.80 = 7,886/x
  3. Step 3: Cross multiply
    14,510x = 20,023.80 × 7,886
  4. Step 4: Simplify right side
    14,510x = 157,907,686.80
  5. Step 5: Solve for x
    x = 157,907,686.80/14,510
  6. Step 6: Final answer
    x = 10,882.68

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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.