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Finding the Fourth Proportional to 3,428.99, 5,143.45 and 964.50

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Solution

The fourth proportional to 3,428.99, 5,143.45 and 964.50 is: 1,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.99 : 5,143.45 = 964.50 : x
  2. Step 2: Convert to fraction form
    3,428.99/5,143.45 = 964.50/x
  3. Step 3: Cross multiply
    3,428.99x = 5,143.45 × 964.50
  4. Step 4: Simplify right side
    3,428.99x = 4,960,857.53
  5. Step 5: Solve for x
    x = 4,960,857.53/3,428.99
  6. Step 6: Final answer
    x = 1,446.74

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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.