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Finding the Fourth Proportional to 5,555.38, 7,666.42 and 3,037.50

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Solution

The fourth proportional to 5,555.38, 7,666.42 and 3,037.50 is: 4,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.38 : 7,666.42 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    5,555.38/7,666.42 = 3,037.50/x
  3. Step 3: Cross multiply
    5,555.38x = 7,666.42 × 3,037.50
  4. Step 4: Simplify right side
    5,555.38x = 23,286,716.40
  5. Step 5: Solve for x
    x = 23,286,716.40/5,555.38
  6. Step 6: Final answer
    x = 4,191.75

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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.