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Finding the Fourth Proportional to 2,912, 4,369.92 and 1,373.12

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Solution

The fourth proportional to 2,912, 4,369.92 and 1,373.12 is: 2,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 4,369.92 = 1,373.12 : x
  2. Step 2: Convert to fraction form
    2,912/4,369.92 = 1,373.12/x
  3. Step 3: Cross multiply
    2,912x = 4,369.92 × 1,373.12
  4. Step 4: Simplify right side
    2,912x = 6,000,424.55
  5. Step 5: Solve for x
    x = 6,000,424.55/2,912
  6. Step 6: Final answer
    x = 2,060.59

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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.