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Finding the Fourth Proportional to 18,478, 25,499.64 and 10,094.50

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Solution

The fourth proportional to 18,478, 25,499.64 and 10,094.50 is: 13,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 25,499.64 = 10,094.50 : x
  2. Step 2: Convert to fraction form
    18,478/25,499.64 = 10,094.50/x
  3. Step 3: Cross multiply
    18,478x = 25,499.64 × 10,094.50
  4. Step 4: Simplify right side
    18,478x = 257,406,115.98
  5. Step 5: Solve for x
    x = 257,406,115.98/18,478
  6. Step 6: Final answer
    x = 13,930.41

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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.