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Finding the Fourth Proportional to 13,420, 18,519.68 and 7,829.92

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Solution

The fourth proportional to 13,420, 18,519.68 and 7,829.92 is: 10,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 18,519.68 = 7,829.92 : x
  2. Step 2: Convert to fraction form
    13,420/18,519.68 = 7,829.92/x
  3. Step 3: Cross multiply
    13,420x = 18,519.68 × 7,829.92
  4. Step 4: Simplify right side
    13,420x = 145,007,612.83
  5. Step 5: Solve for x
    x = 145,007,612.83/13,420
  6. Step 6: Final answer
    x = 10,805.34

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1.5x scale

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.