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Finding the Fourth Proportional to 2,926.12, 4,389.13 and 734.87

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Solution

The fourth proportional to 2,926.12, 4,389.13 and 734.87 is: 1,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.12 : 4,389.13 = 734.87 : x
  2. Step 2: Convert to fraction form
    2,926.12/4,389.13 = 734.87/x
  3. Step 3: Cross multiply
    2,926.12x = 4,389.13 × 734.87
  4. Step 4: Simplify right side
    2,926.12x = 3,225,439.96
  5. Step 5: Solve for x
    x = 3,225,439.96/2,926.12
  6. Step 6: Final answer
    x = 1,102.29

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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.