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Finding the Fourth Proportional to 34,695.50, 47,879.80 and 19,791.50

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Solution

The fourth proportional to 34,695.50, 47,879.80 and 19,791.50 is: 27,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.50 : 47,879.80 = 19,791.50 : x
  2. Step 2: Convert to fraction form
    34,695.50/47,879.80 = 19,791.50/x
  3. Step 3: Cross multiply
    34,695.50x = 47,879.80 × 19,791.50
  4. Step 4: Simplify right side
    34,695.50x = 947,613,061.70
  5. Step 5: Solve for x
    x = 947,613,061.70/34,695.50
  6. Step 6: Final answer
    x = 27,312.28

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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.