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Finding the Fourth Proportional to 11,133, 15,363.54 and 6,165

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Solution

The fourth proportional to 11,133, 15,363.54 and 6,165 is: 8,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133 : 15,363.54 = 6,165 : x
  2. Step 2: Convert to fraction form
    11,133/15,363.54 = 6,165/x
  3. Step 3: Cross multiply
    11,133x = 15,363.54 × 6,165
  4. Step 4: Simplify right side
    11,133x = 94,716,224.10
  5. Step 5: Solve for x
    x = 94,716,224.10/11,133
  6. Step 6: Final answer
    x = 8,507.70

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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.