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Finding the Fourth Proportional to 13,490.64, 18,595.44 and 8,175.42

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Solution

The fourth proportional to 13,490.64, 18,595.44 and 8,175.42 is: 11,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.64 : 18,595.44 = 8,175.42 : x
  2. Step 2: Convert to fraction form
    13,490.64/18,595.44 = 8,175.42/x
  3. Step 3: Cross multiply
    13,490.64x = 18,595.44 × 8,175.42
  4. Step 4: Simplify right side
    13,490.64x = 152,025,532.08
  5. Step 5: Solve for x
    x = 152,025,532.08/13,490.64
  6. Step 6: Final answer
    x = 11,268.96

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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.