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Finding the Fourth Proportional to 5,724.68, 7,900.13 and 3,486.65

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Solution

The fourth proportional to 5,724.68, 7,900.13 and 3,486.65 is: 4,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.68 : 7,900.13 = 3,486.65 : x
  2. Step 2: Convert to fraction form
    5,724.68/7,900.13 = 3,486.65/x
  3. Step 3: Cross multiply
    5,724.68x = 7,900.13 × 3,486.65
  4. Step 4: Simplify right side
    5,724.68x = 27,544,957.48
  5. Step 5: Solve for x
    x = 27,544,957.48/5,724.68
  6. Step 6: Final answer
    x = 4,811.62

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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.