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Finding the Fourth Proportional to 34,761, 47,970.18 and 19,857

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Solution

The fourth proportional to 34,761, 47,970.18 and 19,857 is: 27,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761 : 47,970.18 = 19,857 : x
  2. Step 2: Convert to fraction form
    34,761/47,970.18 = 19,857/x
  3. Step 3: Cross multiply
    34,761x = 47,970.18 × 19,857
  4. Step 4: Simplify right side
    34,761x = 952,543,864.26
  5. Step 5: Solve for x
    x = 952,543,864.26/34,761
  6. Step 6: Final answer
    x = 27,402.66

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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.