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Finding the Fourth Proportional to 13,813.10, 20,719.65 and 8,564.30

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Solution

The fourth proportional to 13,813.10, 20,719.65 and 8,564.30 is: 12,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.10 : 20,719.65 = 8,564.30 : x
  2. Step 2: Convert to fraction form
    13,813.10/20,719.65 = 8,564.30/x
  3. Step 3: Cross multiply
    13,813.10x = 20,719.65 × 8,564.30
  4. Step 4: Simplify right side
    13,813.10x = 177,449,298.50
  5. Step 5: Solve for x
    x = 177,449,298.50/13,813.10
  6. Step 6: Final answer
    x = 12,846.45

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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.