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Finding the Fourth Proportional to 34,707, 47,902.14 and 19,803

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Solution

The fourth proportional to 34,707, 47,902.14 and 19,803 is: 27,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,707 : 47,902.14 = 19,803 : x
  2. Step 2: Convert to fraction form
    34,707/47,902.14 = 19,803/x
  3. Step 3: Cross multiply
    34,707x = 47,902.14 × 19,803
  4. Step 4: Simplify right side
    34,707x = 948,606,078.42
  5. Step 5: Solve for x
    x = 948,606,078.42/34,707
  6. Step 6: Final answer
    x = 27,331.84

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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.