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Finding the Fourth Proportional to 13,207.58, 19,817.78 and 5,811.08

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Solution

The fourth proportional to 13,207.58, 19,817.78 and 5,811.08 is: 8,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.58 : 19,817.78 = 5,811.08 : x
  2. Step 2: Convert to fraction form
    13,207.58/19,817.78 = 5,811.08/x
  3. Step 3: Cross multiply
    13,207.58x = 19,817.78 × 5,811.08
  4. Step 4: Simplify right side
    13,207.58x = 115,162,626.40
  5. Step 5: Solve for x
    x = 115,162,626.40/13,207.58
  6. Step 6: Final answer
    x = 8,719.44

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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.