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Finding the Fourth Proportional to 14,410.47, 19,885.76 and 8,122.83

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Solution

The fourth proportional to 14,410.47, 19,885.76 and 8,122.83 is: 11,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.47 : 19,885.76 = 8,122.83 : x
  2. Step 2: Convert to fraction form
    14,410.47/19,885.76 = 8,122.83/x
  3. Step 3: Cross multiply
    14,410.47x = 19,885.76 × 8,122.83
  4. Step 4: Simplify right side
    14,410.47x = 161,528,607.29
  5. Step 5: Solve for x
    x = 161,528,607.29/14,410.47
  6. Step 6: Final answer
    x = 11,209.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.