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Finding the Fourth Proportional to 7,121.76, 10,686.47 and 2,964.64

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Solution

The fourth proportional to 7,121.76, 10,686.47 and 2,964.64 is: 4,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.76 : 10,686.47 = 2,964.64 : x
  2. Step 2: Convert to fraction form
    7,121.76/10,686.47 = 2,964.64/x
  3. Step 3: Cross multiply
    7,121.76x = 10,686.47 × 2,964.64
  4. Step 4: Simplify right side
    7,121.76x = 31,681,494.88
  5. Step 5: Solve for x
    x = 31,681,494.88/7,121.76
  6. Step 6: Final answer
    x = 4,448.55

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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.