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Finding the Fourth Proportional to 14,601.80, 21,870.30 and 12,657.80

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Solution

The fourth proportional to 14,601.80, 21,870.30 and 12,657.80 is: 18,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.80 : 21,870.30 = 12,657.80 : x
  2. Step 2: Convert to fraction form
    14,601.80/21,870.30 = 12,657.80/x
  3. Step 3: Cross multiply
    14,601.80x = 21,870.30 × 12,657.80
  4. Step 4: Simplify right side
    14,601.80x = 276,829,883.34
  5. Step 5: Solve for x
    x = 276,829,883.34/14,601.80
  6. Step 6: Final answer
    x = 18,958.61

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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.