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Finding the Fourth Proportional to 14,110, 19,471.80 and 7,822.80

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Solution

The fourth proportional to 14,110, 19,471.80 and 7,822.80 is: 10,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110 : 19,471.80 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    14,110/19,471.80 = 7,822.80/x
  3. Step 3: Cross multiply
    14,110x = 19,471.80 × 7,822.80
  4. Step 4: Simplify right side
    14,110x = 152,323,997.04
  5. Step 5: Solve for x
    x = 152,323,997.04/14,110
  6. Step 6: Final answer
    x = 10,795.46

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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.