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Finding the Fourth Proportional to 2,931.93, 4,046.04 and 1,605.62

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Solution

The fourth proportional to 2,931.93, 4,046.04 and 1,605.62 is: 2,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.93 : 4,046.04 = 1,605.62 : x
  2. Step 2: Convert to fraction form
    2,931.93/4,046.04 = 1,605.62/x
  3. Step 3: Cross multiply
    2,931.93x = 4,046.04 × 1,605.62
  4. Step 4: Simplify right side
    2,931.93x = 6,496,382.51
  5. Step 5: Solve for x
    x = 6,496,382.51/2,931.93
  6. Step 6: Final answer
    x = 2,215.74

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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.