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Finding the Fourth Proportional to 6,169, 8,513.36 and 3,374.50

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Solution

The fourth proportional to 6,169, 8,513.36 and 3,374.50 is: 4,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169 : 8,513.36 = 3,374.50 : x
  2. Step 2: Convert to fraction form
    6,169/8,513.36 = 3,374.50/x
  3. Step 3: Cross multiply
    6,169x = 8,513.36 × 3,374.50
  4. Step 4: Simplify right side
    6,169x = 28,728,333.32
  5. Step 5: Solve for x
    x = 28,728,333.32/6,169
  6. Step 6: Final answer
    x = 4,656.89

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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.