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Finding the Fourth Proportional to 5,376, 7,419.34 and 2,986.72

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Solution

The fourth proportional to 5,376, 7,419.34 and 2,986.72 is: 4,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 7,419.34 = 2,986.72 : x
  2. Step 2: Convert to fraction form
    5,376/7,419.34 = 2,986.72/x
  3. Step 3: Cross multiply
    5,376x = 7,419.34 × 2,986.72
  4. Step 4: Simplify right side
    5,376x = 22,159,491.16
  5. Step 5: Solve for x
    x = 22,159,491.16/5,376
  6. Step 6: Final answer
    x = 4,121.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.