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Finding the Fourth Proportional to 14,099.76, 19,458 and 7,812

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Solution

The fourth proportional to 14,099.76, 19,458 and 7,812 is: 10,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.76 : 19,458 = 7,812 : x
  2. Step 2: Convert to fraction form
    14,099.76/19,458 = 7,812/x
  3. Step 3: Cross multiply
    14,099.76x = 19,458 × 7,812
  4. Step 4: Simplify right side
    14,099.76x = 152,005,896
  5. Step 5: Solve for x
    x = 152,005,896/14,099.76
  6. Step 6: Final answer
    x = 10,780.74

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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.