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Finding the Fourth Proportional to 19,678.78, 29,528.35 and 7,830

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Solution

The fourth proportional to 19,678.78, 29,528.35 and 7,830 is: 11,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.78 : 29,528.35 = 7,830 : x
  2. Step 2: Convert to fraction form
    19,678.78/29,528.35 = 7,830/x
  3. Step 3: Cross multiply
    19,678.78x = 29,528.35 × 7,830
  4. Step 4: Simplify right side
    19,678.78x = 231,206,960.93
  5. Step 5: Solve for x
    x = 231,206,960.93/19,678.78
  6. Step 6: Final answer
    x = 11,749.05

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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.