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Finding the Fourth Proportional to 23,153.82, 31,953.62 and 13,082

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Solution

The fourth proportional to 23,153.82, 31,953.62 and 13,082 is: 18,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.82 : 31,953.62 = 13,082 : x
  2. Step 2: Convert to fraction form
    23,153.82/31,953.62 = 13,082/x
  3. Step 3: Cross multiply
    23,153.82x = 31,953.62 × 13,082
  4. Step 4: Simplify right side
    23,153.82x = 418,017,256.84
  5. Step 5: Solve for x
    x = 418,017,256.84/23,153.82
  6. Step 6: Final answer
    x = 18,053.92

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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.