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Finding the Fourth Proportional to 13,576.86, 18,726.92 and 7,987.86

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Solution

The fourth proportional to 13,576.86, 18,726.92 and 7,987.86 is: 11,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.86 : 18,726.92 = 7,987.86 : x
  2. Step 2: Convert to fraction form
    13,576.86/18,726.92 = 7,987.86/x
  3. Step 3: Cross multiply
    13,576.86x = 18,726.92 × 7,987.86
  4. Step 4: Simplify right side
    13,576.86x = 149,588,015.19
  5. Step 5: Solve for x
    x = 149,588,015.19/13,576.86
  6. Step 6: Final answer
    x = 11,017.87

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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.