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Finding the Fourth Proportional to 34,809, 48,036.48 and 19,905

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Solution

The fourth proportional to 34,809, 48,036.48 and 19,905 is: 27,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809 : 48,036.48 = 19,905 : x
  2. Step 2: Convert to fraction form
    34,809/48,036.48 = 19,905/x
  3. Step 3: Cross multiply
    34,809x = 48,036.48 × 19,905
  4. Step 4: Simplify right side
    34,809x = 956,166,134.40
  5. Step 5: Solve for x
    x = 956,166,134.40/34,809
  6. Step 6: Final answer
    x = 27,468.93

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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.