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Finding the Fourth Proportional to 13,485.64, 18,602.56 and 8,509

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Solution

The fourth proportional to 13,485.64, 18,602.56 and 8,509 is: 11,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.64 : 18,602.56 = 8,509 : x
  2. Step 2: Convert to fraction form
    13,485.64/18,602.56 = 8,509/x
  3. Step 3: Cross multiply
    13,485.64x = 18,602.56 × 8,509
  4. Step 4: Simplify right side
    13,485.64x = 158,289,183.04
  5. Step 5: Solve for x
    x = 158,289,183.04/13,485.64
  6. Step 6: Final answer
    x = 11,737.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.