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Finding the Fourth Proportional to 7,400.65, 11,095.50 and 3,500.50

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Solution

The fourth proportional to 7,400.65, 11,095.50 and 3,500.50 is: 5,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.65 : 11,095.50 = 3,500.50 : x
  2. Step 2: Convert to fraction form
    7,400.65/11,095.50 = 3,500.50/x
  3. Step 3: Cross multiply
    7,400.65x = 11,095.50 × 3,500.50
  4. Step 4: Simplify right side
    7,400.65x = 38,839,797.75
  5. Step 5: Solve for x
    x = 38,839,797.75/7,400.65
  6. Step 6: Final answer
    x = 5,248.16

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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.