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Finding the Fourth Proportional to 20,405.10, 30,607.65 and 13,406.70

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Solution

The fourth proportional to 20,405.10, 30,607.65 and 13,406.70 is: 20,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.10 : 30,607.65 = 13,406.70 : x
  2. Step 2: Convert to fraction form
    20,405.10/30,607.65 = 13,406.70/x
  3. Step 3: Cross multiply
    20,405.10x = 30,607.65 × 13,406.70
  4. Step 4: Simplify right side
    20,405.10x = 410,347,581.26
  5. Step 5: Solve for x
    x = 410,347,581.26/20,405.10
  6. Step 6: Final answer
    x = 20,110.05

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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.