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Finding the Fourth Proportional to 2,993.97, 4,132.64 and 1,931.77

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Solution

The fourth proportional to 2,993.97, 4,132.64 and 1,931.77 is: 2,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.97 : 4,132.64 = 1,931.77 : x
  2. Step 2: Convert to fraction form
    2,993.97/4,132.64 = 1,931.77/x
  3. Step 3: Cross multiply
    2,993.97x = 4,132.64 × 1,931.77
  4. Step 4: Simplify right side
    2,993.97x = 7,983,294.81
  5. Step 5: Solve for x
    x = 7,983,294.81/2,993.97
  6. Step 6: Final answer
    x = 2,666.46

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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.