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Finding the Fourth Proportional to 13,412, 18,508.56 and 7,823.04

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Solution

The fourth proportional to 13,412, 18,508.56 and 7,823.04 is: 10,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412 : 18,508.56 = 7,823.04 : x
  2. Step 2: Convert to fraction form
    13,412/18,508.56 = 7,823.04/x
  3. Step 3: Cross multiply
    13,412x = 18,508.56 × 7,823.04
  4. Step 4: Simplify right side
    13,412x = 144,793,205.22
  5. Step 5: Solve for x
    x = 144,793,205.22/13,412
  6. Step 6: Final answer
    x = 10,795.80

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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.