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Finding the Fourth Proportional to 38,160.49, 52,661.87 and 21,165

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Solution

The fourth proportional to 38,160.49, 52,661.87 and 21,165 is: 29,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,160.49 : 52,661.87 = 21,165 : x
  2. Step 2: Convert to fraction form
    38,160.49/52,661.87 = 21,165/x
  3. Step 3: Cross multiply
    38,160.49x = 52,661.87 × 21,165
  4. Step 4: Simplify right side
    38,160.49x = 1,114,588,478.55
  5. Step 5: Solve for x
    x = 1,114,588,478.55/38,160.49
  6. Step 6: Final answer
    x = 29,207.92

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1.5x scale

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.