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Finding the Fourth Proportional to 11,427.78, 17,143.47 and 4,854

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Solution

The fourth proportional to 11,427.78, 17,143.47 and 4,854 is: 7,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.78 : 17,143.47 = 4,854 : x
  2. Step 2: Convert to fraction form
    11,427.78/17,143.47 = 4,854/x
  3. Step 3: Cross multiply
    11,427.78x = 17,143.47 × 4,854
  4. Step 4: Simplify right side
    11,427.78x = 83,214,403.38
  5. Step 5: Solve for x
    x = 83,214,403.38/11,427.78
  6. Step 6: Final answer
    x = 7,281.76

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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.