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Finding the Fourth Proportional to 19,604.56, 29,400.64 and 6,454

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Solution

The fourth proportional to 19,604.56, 29,400.64 and 6,454 is: 9,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.56 : 29,400.64 = 6,454 : x
  2. Step 2: Convert to fraction form
    19,604.56/29,400.64 = 6,454/x
  3. Step 3: Cross multiply
    19,604.56x = 29,400.64 × 6,454
  4. Step 4: Simplify right side
    19,604.56x = 189,751,730.56
  5. Step 5: Solve for x
    x = 189,751,730.56/19,604.56
  6. Step 6: Final answer
    x = 9,678.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.