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Finding the Fourth Proportional to 7,506, 11,260.68 and 3,402

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Solution

The fourth proportional to 7,506, 11,260.68 and 3,402 is: 5,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 11,260.68 = 3,402 : x
  2. Step 2: Convert to fraction form
    7,506/11,260.68 = 3,402/x
  3. Step 3: Cross multiply
    7,506x = 11,260.68 × 3,402
  4. Step 4: Simplify right side
    7,506x = 38,308,833.36
  5. Step 5: Solve for x
    x = 38,308,833.36/7,506
  6. Step 6: Final answer
    x = 5,103.76

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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.