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Finding the Fourth Proportional to 13,858, 20,787 and 5,541.76

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Solution

The fourth proportional to 13,858, 20,787 and 5,541.76 is: 8,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 20,787 = 5,541.76 : x
  2. Step 2: Convert to fraction form
    13,858/20,787 = 5,541.76/x
  3. Step 3: Cross multiply
    13,858x = 20,787 × 5,541.76
  4. Step 4: Simplify right side
    13,858x = 115,196,565.12
  5. Step 5: Solve for x
    x = 115,196,565.12/13,858
  6. Step 6: Final answer
    x = 8,312.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.