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Finding the Fourth Proportional to 5,271.96, 7,911 and 2,151.48

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Solution

The fourth proportional to 5,271.96, 7,911 and 2,151.48 is: 3,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.96 : 7,911 = 2,151.48 : x
  2. Step 2: Convert to fraction form
    5,271.96/7,911 = 2,151.48/x
  3. Step 3: Cross multiply
    5,271.96x = 7,911 × 2,151.48
  4. Step 4: Simplify right side
    5,271.96x = 17,020,358.28
  5. Step 5: Solve for x
    x = 17,020,358.28/5,271.96
  6. Step 6: Final answer
    x = 3,228.47

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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.