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Finding the Fourth Proportional to 14,471, 19,970.16 and 7,847

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Solution

The fourth proportional to 14,471, 19,970.16 and 7,847 is: 10,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471 : 19,970.16 = 7,847 : x
  2. Step 2: Convert to fraction form
    14,471/19,970.16 = 7,847/x
  3. Step 3: Cross multiply
    14,471x = 19,970.16 × 7,847
  4. Step 4: Simplify right side
    14,471x = 156,705,845.52
  5. Step 5: Solve for x
    x = 156,705,845.52/14,471
  6. Step 6: Final answer
    x = 10,828.96

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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.