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Finding the Fourth Proportional to 4,930, 7,392.76 and 1,419.19

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Solution

The fourth proportional to 4,930, 7,392.76 and 1,419.19 is: 2,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 7,392.76 = 1,419.19 : x
  2. Step 2: Convert to fraction form
    4,930/7,392.76 = 1,419.19/x
  3. Step 3: Cross multiply
    4,930x = 7,392.76 × 1,419.19
  4. Step 4: Simplify right side
    4,930x = 10,491,731.06
  5. Step 5: Solve for x
    x = 10,491,731.06/4,930
  6. Step 6: Final answer
    x = 2,128.14

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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.