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Finding the Fourth Proportional to 4,274.05, 6,406.05 and 1,931.32

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Solution

The fourth proportional to 4,274.05, 6,406.05 and 1,931.32 is: 2,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.05 : 6,406.05 = 1,931.32 : x
  2. Step 2: Convert to fraction form
    4,274.05/6,406.05 = 1,931.32/x
  3. Step 3: Cross multiply
    4,274.05x = 6,406.05 × 1,931.32
  4. Step 4: Simplify right side
    4,274.05x = 12,372,132.49
  5. Step 5: Solve for x
    x = 12,372,132.49/4,274.05
  6. Step 6: Final answer
    x = 2,894.71

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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.