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Finding the Fourth Proportional to 18,405.80, 25,402.50 and 10,953

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Solution

The fourth proportional to 18,405.80, 25,402.50 and 10,953 is: 15,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405.80 : 25,402.50 = 10,953 : x
  2. Step 2: Convert to fraction form
    18,405.80/25,402.50 = 10,953/x
  3. Step 3: Cross multiply
    18,405.80x = 25,402.50 × 10,953
  4. Step 4: Simplify right side
    18,405.80x = 278,233,582.50
  5. Step 5: Solve for x
    x = 278,233,582.50/18,405.80
  6. Step 6: Final answer
    x = 15,116.63

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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.