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Finding the Fourth Proportional to 14,728.80, 22,060.80 and 12,784.80

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Solution

The fourth proportional to 14,728.80, 22,060.80 and 12,784.80 is: 19,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.80 : 22,060.80 = 12,784.80 : x
  2. Step 2: Convert to fraction form
    14,728.80/22,060.80 = 12,784.80/x
  3. Step 3: Cross multiply
    14,728.80x = 22,060.80 × 12,784.80
  4. Step 4: Simplify right side
    14,728.80x = 282,042,915.84
  5. Step 5: Solve for x
    x = 282,042,915.84/14,728.80
  6. Step 6: Final answer
    x = 19,149.08

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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.