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Finding the Fourth Proportional to 7,133.16, 10,699.86 and 1,938.90

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Solution

The fourth proportional to 7,133.16, 10,699.86 and 1,938.90 is: 2,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.16 : 10,699.86 = 1,938.90 : x
  2. Step 2: Convert to fraction form
    7,133.16/10,699.86 = 1,938.90/x
  3. Step 3: Cross multiply
    7,133.16x = 10,699.86 × 1,938.90
  4. Step 4: Simplify right side
    7,133.16x = 20,745,958.55
  5. Step 5: Solve for x
    x = 20,745,958.55/7,133.16
  6. Step 6: Final answer
    x = 2,908.38

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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.