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Finding the Fourth Proportional to 19,214.64, 28,804.68 and 6,899.76

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Solution

The fourth proportional to 19,214.64, 28,804.68 and 6,899.76 is: 10,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.64 : 28,804.68 = 6,899.76 : x
  2. Step 2: Convert to fraction form
    19,214.64/28,804.68 = 6,899.76/x
  3. Step 3: Cross multiply
    19,214.64x = 28,804.68 × 6,899.76
  4. Step 4: Simplify right side
    19,214.64x = 198,745,378.88
  5. Step 5: Solve for x
    x = 198,745,378.88/19,214.64
  6. Step 6: Final answer
    x = 10,343.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.