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Finding the Fourth Proportional to 7,497, 11,237.82 and 3,117

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Solution

The fourth proportional to 7,497, 11,237.82 and 3,117 is: 4,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 11,237.82 = 3,117 : x
  2. Step 2: Convert to fraction form
    7,497/11,237.82 = 3,117/x
  3. Step 3: Cross multiply
    7,497x = 11,237.82 × 3,117
  4. Step 4: Simplify right side
    7,497x = 35,028,284.94
  5. Step 5: Solve for x
    x = 35,028,284.94/7,497
  6. Step 6: Final answer
    x = 4,672.31

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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.