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Finding the Fourth Proportional to 13,412.80, 18,506.80 and 8,106.56

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Solution

The fourth proportional to 13,412.80, 18,506.80 and 8,106.56 is: 11,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.80 : 18,506.80 = 8,106.56 : x
  2. Step 2: Convert to fraction form
    13,412.80/18,506.80 = 8,106.56/x
  3. Step 3: Cross multiply
    13,412.80x = 18,506.80 × 8,106.56
  4. Step 4: Simplify right side
    13,412.80x = 150,026,484.61
  5. Step 5: Solve for x
    x = 150,026,484.61/13,412.80
  6. Step 6: Final answer
    x = 11,185.32

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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.