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Finding the Fourth Proportional to 13,246.50, 19,878.86 and 5,455.31

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Solution

The fourth proportional to 13,246.50, 19,878.86 and 5,455.31 is: 8,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.50 : 19,878.86 = 5,455.31 : x
  2. Step 2: Convert to fraction form
    13,246.50/19,878.86 = 5,455.31/x
  3. Step 3: Cross multiply
    13,246.50x = 19,878.86 × 5,455.31
  4. Step 4: Simplify right side
    13,246.50x = 108,445,407.08
  5. Step 5: Solve for x
    x = 108,445,407.08/13,246.50
  6. Step 6: Final answer
    x = 8,186.72

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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.