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Finding the Fourth Proportional to 9,806, 13,532.28 and 5,390

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Solution

The fourth proportional to 9,806, 13,532.28 and 5,390 is: 7,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 13,532.28 = 5,390 : x
  2. Step 2: Convert to fraction form
    9,806/13,532.28 = 5,390/x
  3. Step 3: Cross multiply
    9,806x = 13,532.28 × 5,390
  4. Step 4: Simplify right side
    9,806x = 72,938,989.20
  5. Step 5: Solve for x
    x = 72,938,989.20/9,806
  6. Step 6: Final answer
    x = 7,438.20

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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.