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Finding the Fourth Proportional to 7,429.70, 11,139.50 and 3,534.50

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Solution

The fourth proportional to 7,429.70, 11,139.50 and 3,534.50 is: 5,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.70 : 11,139.50 = 3,534.50 : x
  2. Step 2: Convert to fraction form
    7,429.70/11,139.50 = 3,534.50/x
  3. Step 3: Cross multiply
    7,429.70x = 11,139.50 × 3,534.50
  4. Step 4: Simplify right side
    7,429.70x = 39,372,562.75
  5. Step 5: Solve for x
    x = 39,372,562.75/7,429.70
  6. Step 6: Final answer
    x = 5,299.35

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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.