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Finding the Fourth Proportional to 13,585, 20,381.46 and 5,794.60

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Solution

The fourth proportional to 13,585, 20,381.46 and 5,794.60 is: 8,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 20,381.46 = 5,794.60 : x
  2. Step 2: Convert to fraction form
    13,585/20,381.46 = 5,794.60/x
  3. Step 3: Cross multiply
    13,585x = 20,381.46 × 5,794.60
  4. Step 4: Simplify right side
    13,585x = 118,102,408.12
  5. Step 5: Solve for x
    x = 118,102,408.12/13,585
  6. Step 6: Final answer
    x = 8,693.59

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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.