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Finding the Fourth Proportional to 13,415.10, 20,122.65 and 12,005.70

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Solution

The fourth proportional to 13,415.10, 20,122.65 and 12,005.70 is: 18,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.10 : 20,122.65 = 12,005.70 : x
  2. Step 2: Convert to fraction form
    13,415.10/20,122.65 = 12,005.70/x
  3. Step 3: Cross multiply
    13,415.10x = 20,122.65 × 12,005.70
  4. Step 4: Simplify right side
    13,415.10x = 241,586,499.11
  5. Step 5: Solve for x
    x = 241,586,499.11/13,415.10
  6. Step 6: Final answer
    x = 18,008.55

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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.