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Finding the Fourth Proportional to 34,265, 47,285.70 and 19,361

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Solution

The fourth proportional to 34,265, 47,285.70 and 19,361 is: 26,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265 : 47,285.70 = 19,361 : x
  2. Step 2: Convert to fraction form
    34,265/47,285.70 = 19,361/x
  3. Step 3: Cross multiply
    34,265x = 47,285.70 × 19,361
  4. Step 4: Simplify right side
    34,265x = 915,498,437.70
  5. Step 5: Solve for x
    x = 915,498,437.70/34,265
  6. Step 6: Final answer
    x = 26,718.18

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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.