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Finding the Fourth Proportional to 3,144, 4,715.84 and 952.72

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Solution

The fourth proportional to 3,144, 4,715.84 and 952.72 is: 1,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144 : 4,715.84 = 952.72 : x
  2. Step 2: Convert to fraction form
    3,144/4,715.84 = 952.72/x
  3. Step 3: Cross multiply
    3,144x = 4,715.84 × 952.72
  4. Step 4: Simplify right side
    3,144x = 4,492,875.08
  5. Step 5: Solve for x
    x = 4,492,875.08/3,144
  6. Step 6: Final answer
    x = 1,429.03

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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.