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Finding the Fourth Proportional to 13,709.38, 18,919.29 and 8,407.12

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Solution

The fourth proportional to 13,709.38, 18,919.29 and 8,407.12 is: 11,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.38 : 18,919.29 = 8,407.12 : x
  2. Step 2: Convert to fraction form
    13,709.38/18,919.29 = 8,407.12/x
  3. Step 3: Cross multiply
    13,709.38x = 18,919.29 × 8,407.12
  4. Step 4: Simplify right side
    13,709.38x = 159,056,741.34
  5. Step 5: Solve for x
    x = 159,056,741.34/13,709.38
  6. Step 6: Final answer
    x = 11,602.04

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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.