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Finding the Fourth Proportional to 13,538.64, 18,683 and 7,570.86

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Solution

The fourth proportional to 13,538.64, 18,683 and 7,570.86 is: 10,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.64 : 18,683 = 7,570.86 : x
  2. Step 2: Convert to fraction form
    13,538.64/18,683 = 7,570.86/x
  3. Step 3: Cross multiply
    13,538.64x = 18,683 × 7,570.86
  4. Step 4: Simplify right side
    13,538.64x = 141,446,377.38
  5. Step 5: Solve for x
    x = 141,446,377.38/13,538.64
  6. Step 6: Final answer
    x = 10,447.61

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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.