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Finding the Fourth Proportional to 13,586.64, 20,339.64 and 8,305.84

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Solution

The fourth proportional to 13,586.64, 20,339.64 and 8,305.84 is: 12,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.64 : 20,339.64 = 8,305.84 : x
  2. Step 2: Convert to fraction form
    13,586.64/20,339.64 = 8,305.84/x
  3. Step 3: Cross multiply
    13,586.64x = 20,339.64 × 8,305.84
  4. Step 4: Simplify right side
    13,586.64x = 168,937,795.50
  5. Step 5: Solve for x
    x = 168,937,795.50/13,586.64
  6. Step 6: Final answer
    x = 12,434.11

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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.