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Finding the Fourth Proportional to 14,243.99, 19,656.60 and 7,871

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Solution

The fourth proportional to 14,243.99, 19,656.60 and 7,871 is: 10,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.99 : 19,656.60 = 7,871 : x
  2. Step 2: Convert to fraction form
    14,243.99/19,656.60 = 7,871/x
  3. Step 3: Cross multiply
    14,243.99x = 19,656.60 × 7,871
  4. Step 4: Simplify right side
    14,243.99x = 154,717,098.60
  5. Step 5: Solve for x
    x = 154,717,098.60/14,243.99
  6. Step 6: Final answer
    x = 10,861.92

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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.