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Finding the Fourth Proportional to 13,813.61, 20,705.63 and 5,482.08

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Solution

The fourth proportional to 13,813.61, 20,705.63 and 5,482.08 is: 8,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.61 : 20,705.63 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    13,813.61/20,705.63 = 5,482.08/x
  3. Step 3: Cross multiply
    13,813.61x = 20,705.63 × 5,482.08
  4. Step 4: Simplify right side
    13,813.61x = 113,509,892.70
  5. Step 5: Solve for x
    x = 113,509,892.70/13,813.61
  6. Step 6: Final answer
    x = 8,217.25

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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.