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Finding the Fourth Proportional to 13,358, 18,433.84 and 9,536.69

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Solution

The fourth proportional to 13,358, 18,433.84 and 9,536.69 is: 13,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358 : 18,433.84 = 9,536.69 : x
  2. Step 2: Convert to fraction form
    13,358/18,433.84 = 9,536.69/x
  3. Step 3: Cross multiply
    13,358x = 18,433.84 × 9,536.69
  4. Step 4: Simplify right side
    13,358x = 175,797,769.91
  5. Step 5: Solve for x
    x = 175,797,769.91/13,358
  6. Step 6: Final answer
    x = 13,160.49

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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.