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Finding the Fourth Proportional to 7,402, 11,108.46 and 3,506.40

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Solution

The fourth proportional to 7,402, 11,108.46 and 3,506.40 is: 5,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 11,108.46 = 3,506.40 : x
  2. Step 2: Convert to fraction form
    7,402/11,108.46 = 3,506.40/x
  3. Step 3: Cross multiply
    7,402x = 11,108.46 × 3,506.40
  4. Step 4: Simplify right side
    7,402x = 38,950,704.14
  5. Step 5: Solve for x
    x = 38,950,704.14/7,402
  6. Step 6: Final answer
    x = 5,262.19

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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.