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Finding the Fourth Proportional to 13,858, 20,787 and 4,624.72

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Solution

The fourth proportional to 13,858, 20,787 and 4,624.72 is: 6,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 20,787 = 4,624.72 : x
  2. Step 2: Convert to fraction form
    13,858/20,787 = 4,624.72/x
  3. Step 3: Cross multiply
    13,858x = 20,787 × 4,624.72
  4. Step 4: Simplify right side
    13,858x = 96,134,054.64
  5. Step 5: Solve for x
    x = 96,134,054.64/13,858
  6. Step 6: Final answer
    x = 6,937.08

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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.