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Finding the Fourth Proportional to 34,668, 47,848.32 and 19,764

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Solution

The fourth proportional to 34,668, 47,848.32 and 19,764 is: 27,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 47,848.32 = 19,764 : x
  2. Step 2: Convert to fraction form
    34,668/47,848.32 = 19,764/x
  3. Step 3: Cross multiply
    34,668x = 47,848.32 × 19,764
  4. Step 4: Simplify right side
    34,668x = 945,674,196.48
  5. Step 5: Solve for x
    x = 945,674,196.48/34,668
  6. Step 6: Final answer
    x = 27,278.01

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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.