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Finding the Fourth Proportional to 2,931.87, 4,398.21 and 984.63

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Solution

The fourth proportional to 2,931.87, 4,398.21 and 984.63 is: 1,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.87 : 4,398.21 = 984.63 : x
  2. Step 2: Convert to fraction form
    2,931.87/4,398.21 = 984.63/x
  3. Step 3: Cross multiply
    2,931.87x = 4,398.21 × 984.63
  4. Step 4: Simplify right side
    2,931.87x = 4,330,604.59
  5. Step 5: Solve for x
    x = 4,330,604.59/2,931.87
  6. Step 6: Final answer
    x = 1,477.08

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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.