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Finding the Fourth Proportional to 7,291, 10,931.64 and 3,393.28

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Solution

The fourth proportional to 7,291, 10,931.64 and 3,393.28 is: 5,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291 : 10,931.64 = 3,393.28 : x
  2. Step 2: Convert to fraction form
    7,291/10,931.64 = 3,393.28/x
  3. Step 3: Cross multiply
    7,291x = 10,931.64 × 3,393.28
  4. Step 4: Simplify right side
    7,291x = 37,094,115.38
  5. Step 5: Solve for x
    x = 37,094,115.38/7,291
  6. Step 6: Final answer
    x = 5,087.66

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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.