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Finding the Fourth Proportional to 2,931.94, 4,398.36 and 984.59

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Solution

The fourth proportional to 2,931.94, 4,398.36 and 984.59 is: 1,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.94 : 4,398.36 = 984.59 : x
  2. Step 2: Convert to fraction form
    2,931.94/4,398.36 = 984.59/x
  3. Step 3: Cross multiply
    2,931.94x = 4,398.36 × 984.59
  4. Step 4: Simplify right side
    2,931.94x = 4,330,600.52
  5. Step 5: Solve for x
    x = 4,330,600.52/2,931.94
  6. Step 6: Final answer
    x = 1,477.04

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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.