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Finding the Fourth Proportional to 13,415.88, 20,113.80 and 8,152.08

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Solution

The fourth proportional to 13,415.88, 20,113.80 and 8,152.08 is: 12,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.88 : 20,113.80 = 8,152.08 : x
  2. Step 2: Convert to fraction form
    13,415.88/20,113.80 = 8,152.08/x
  3. Step 3: Cross multiply
    13,415.88x = 20,113.80 × 8,152.08
  4. Step 4: Simplify right side
    13,415.88x = 163,969,306.70
  5. Step 5: Solve for x
    x = 163,969,306.70/13,415.88
  6. Step 6: Final answer
    x = 12,222.03

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1.5x scale

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.