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Finding the Fourth Proportional to 3,316.94, 4,975.95 and 1,585.57

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Solution

The fourth proportional to 3,316.94, 4,975.95 and 1,585.57 is: 2,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.94 : 4,975.95 = 1,585.57 : x
  2. Step 2: Convert to fraction form
    3,316.94/4,975.95 = 1,585.57/x
  3. Step 3: Cross multiply
    3,316.94x = 4,975.95 × 1,585.57
  4. Step 4: Simplify right side
    3,316.94x = 7,889,717.04
  5. Step 5: Solve for x
    x = 7,889,717.04/3,316.94
  6. Step 6: Final answer
    x = 2,378.61

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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.