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Finding the Fourth Proportional to 14,428.61, 19,905.82 and 8,377.81

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Solution

The fourth proportional to 14,428.61, 19,905.82 and 8,377.81 is: 11,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.61 : 19,905.82 = 8,377.81 : x
  2. Step 2: Convert to fraction form
    14,428.61/19,905.82 = 8,377.81/x
  3. Step 3: Cross multiply
    14,428.61x = 19,905.82 × 8,377.81
  4. Step 4: Simplify right side
    14,428.61x = 166,767,217.15
  5. Step 5: Solve for x
    x = 166,767,217.15/14,428.61
  6. Step 6: Final answer
    x = 11,558.10

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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.