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Finding the Fourth Proportional to 3,369.44, 5,051.28 and 1,316

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Solution

The fourth proportional to 3,369.44, 5,051.28 and 1,316 is: 1,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.44 : 5,051.28 = 1,316 : x
  2. Step 2: Convert to fraction form
    3,369.44/5,051.28 = 1,316/x
  3. Step 3: Cross multiply
    3,369.44x = 5,051.28 × 1,316
  4. Step 4: Simplify right side
    3,369.44x = 6,647,484.48
  5. Step 5: Solve for x
    x = 6,647,484.48/3,369.44
  6. Step 6: Final answer
    x = 1,972.88

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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.