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Finding the Fourth Proportional to 2,931.94, 4,046.07 and 1,605.64

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Solution

The fourth proportional to 2,931.94, 4,046.07 and 1,605.64 is: 2,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.94 : 4,046.07 = 1,605.64 : x
  2. Step 2: Convert to fraction form
    2,931.94/4,046.07 = 1,605.64/x
  3. Step 3: Cross multiply
    2,931.94x = 4,046.07 × 1,605.64
  4. Step 4: Simplify right side
    2,931.94x = 6,496,523.81
  5. Step 5: Solve for x
    x = 6,496,523.81/2,931.94
  6. Step 6: Final answer
    x = 2,215.78

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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.