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Finding the Fourth Proportional to 34,155, 51,241.14 and 9,531

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Solution

The fourth proportional to 34,155, 51,241.14 and 9,531 is: 14,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,155 : 51,241.14 = 9,531 : x
  2. Step 2: Convert to fraction form
    34,155/51,241.14 = 9,531/x
  3. Step 3: Cross multiply
    34,155x = 51,241.14 × 9,531
  4. Step 4: Simplify right side
    34,155x = 488,379,305.34
  5. Step 5: Solve for x
    x = 488,379,305.34/34,155
  6. Step 6: Final answer
    x = 14,298.91

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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.