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Finding the Fourth Proportional to 12,137.40, 16,750 and 7,102.14

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Solution

The fourth proportional to 12,137.40, 16,750 and 7,102.14 is: 9,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.40 : 16,750 = 7,102.14 : x
  2. Step 2: Convert to fraction form
    12,137.40/16,750 = 7,102.14/x
  3. Step 3: Cross multiply
    12,137.40x = 16,750 × 7,102.14
  4. Step 4: Simplify right side
    12,137.40x = 118,960,845
  5. Step 5: Solve for x
    x = 118,960,845/12,137.40
  6. Step 6: Final answer
    x = 9,801.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.