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Finding the Fourth Proportional to 13,510, 20,274.04 and 5,196.88

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Solution

The fourth proportional to 13,510, 20,274.04 and 5,196.88 is: 7,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510 : 20,274.04 = 5,196.88 : x
  2. Step 2: Convert to fraction form
    13,510/20,274.04 = 5,196.88/x
  3. Step 3: Cross multiply
    13,510x = 20,274.04 × 5,196.88
  4. Step 4: Simplify right side
    13,510x = 105,361,753.00
  5. Step 5: Solve for x
    x = 105,361,753.00/13,510
  6. Step 6: Final answer
    x = 7,798.80

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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.