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Finding the Fourth Proportional to 2,931.89, 4,398.23 and 983.43

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Solution

The fourth proportional to 2,931.89, 4,398.23 and 983.43 is: 1,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.89 : 4,398.23 = 983.43 : x
  2. Step 2: Convert to fraction form
    2,931.89/4,398.23 = 983.43/x
  3. Step 3: Cross multiply
    2,931.89x = 4,398.23 × 983.43
  4. Step 4: Simplify right side
    2,931.89x = 4,325,353.79
  5. Step 5: Solve for x
    x = 4,325,353.79/2,931.89
  6. Step 6: Final answer
    x = 1,475.28

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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.