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Finding the Fourth Proportional to 5,278.65, 7,921.26 and 2,158.67

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Solution

The fourth proportional to 5,278.65, 7,921.26 and 2,158.67 is: 3,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.65 : 7,921.26 = 2,158.67 : x
  2. Step 2: Convert to fraction form
    5,278.65/7,921.26 = 2,158.67/x
  3. Step 3: Cross multiply
    5,278.65x = 7,921.26 × 2,158.67
  4. Step 4: Simplify right side
    5,278.65x = 17,099,386.32
  5. Step 5: Solve for x
    x = 17,099,386.32/5,278.65
  6. Step 6: Final answer
    x = 3,239.35

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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.