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Finding the Fourth Proportional to 34,714, 47,911.80 and 19,810

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Solution

The fourth proportional to 34,714, 47,911.80 and 19,810 is: 27,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714 : 47,911.80 = 19,810 : x
  2. Step 2: Convert to fraction form
    34,714/47,911.80 = 19,810/x
  3. Step 3: Cross multiply
    34,714x = 47,911.80 × 19,810
  4. Step 4: Simplify right side
    34,714x = 949,132,758
  5. Step 5: Solve for x
    x = 949,132,758/34,714
  6. Step 6: Final answer
    x = 27,341.50

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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.