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Finding the Fourth Proportional to 19,297.18, 28,930.65 and 7,619.14

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Solution

The fourth proportional to 19,297.18, 28,930.65 and 7,619.14 is: 11,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.18 : 28,930.65 = 7,619.14 : x
  2. Step 2: Convert to fraction form
    19,297.18/28,930.65 = 7,619.14/x
  3. Step 3: Cross multiply
    19,297.18x = 28,930.65 × 7,619.14
  4. Step 4: Simplify right side
    19,297.18x = 220,426,723.09
  5. Step 5: Solve for x
    x = 220,426,723.09/19,297.18
  6. Step 6: Final answer
    x = 11,422.74

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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.