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Finding the Fourth Proportional to 10,135, 15,190.02 and 7,197.40

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Solution

The fourth proportional to 10,135, 15,190.02 and 7,197.40 is: 10,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135 : 15,190.02 = 7,197.40 : x
  2. Step 2: Convert to fraction form
    10,135/15,190.02 = 7,197.40/x
  3. Step 3: Cross multiply
    10,135x = 15,190.02 × 7,197.40
  4. Step 4: Simplify right side
    10,135x = 109,328,649.95
  5. Step 5: Solve for x
    x = 109,328,649.95/10,135
  6. Step 6: Final answer
    x = 10,787.24

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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.