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Finding the Fourth Proportional to 7,140, 10,716.50 and 3,632.37

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Solution

The fourth proportional to 7,140, 10,716.50 and 3,632.37 is: 5,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 10,716.50 = 3,632.37 : x
  2. Step 2: Convert to fraction form
    7,140/10,716.50 = 3,632.37/x
  3. Step 3: Cross multiply
    7,140x = 10,716.50 × 3,632.37
  4. Step 4: Simplify right side
    7,140x = 38,926,274.94
  5. Step 5: Solve for x
    x = 38,926,274.94/7,140
  6. Step 6: Final answer
    x = 5,451.86

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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.