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Finding the Fourth Proportional to 2,929.56, 4,394.34 and 981.96

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Solution

The fourth proportional to 2,929.56, 4,394.34 and 981.96 is: 1,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.56 : 4,394.34 = 981.96 : x
  2. Step 2: Convert to fraction form
    2,929.56/4,394.34 = 981.96/x
  3. Step 3: Cross multiply
    2,929.56x = 4,394.34 × 981.96
  4. Step 4: Simplify right side
    2,929.56x = 4,315,066.11
  5. Step 5: Solve for x
    x = 4,315,066.11/2,929.56
  6. Step 6: Final answer
    x = 1,472.94

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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.