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Finding the Fourth Proportional to 10,341, 15,513.66 and 4,185

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Solution

The fourth proportional to 10,341, 15,513.66 and 4,185 is: 6,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 15,513.66 = 4,185 : x
  2. Step 2: Convert to fraction form
    10,341/15,513.66 = 4,185/x
  3. Step 3: Cross multiply
    10,341x = 15,513.66 × 4,185
  4. Step 4: Simplify right side
    10,341x = 64,924,667.10
  5. Step 5: Solve for x
    x = 64,924,667.10/10,341
  6. Step 6: Final answer
    x = 6,278.37

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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.