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Finding the Fourth Proportional to 18,400, 25,390.40 and 10,442.56

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Solution

The fourth proportional to 18,400, 25,390.40 and 10,442.56 is: 14,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 25,390.40 = 10,442.56 : x
  2. Step 2: Convert to fraction form
    18,400/25,390.40 = 10,442.56/x
  3. Step 3: Cross multiply
    18,400x = 25,390.40 × 10,442.56
  4. Step 4: Simplify right side
    18,400x = 265,140,775.42
  5. Step 5: Solve for x
    x = 265,140,775.42/18,400
  6. Step 6: Final answer
    x = 14,409.82

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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.