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Finding the Fourth Proportional to 4,929.79, 7,381.72 and 3,776.35

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Solution

The fourth proportional to 4,929.79, 7,381.72 and 3,776.35 is: 5,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.79 : 7,381.72 = 3,776.35 : x
  2. Step 2: Convert to fraction form
    4,929.79/7,381.72 = 3,776.35/x
  3. Step 3: Cross multiply
    4,929.79x = 7,381.72 × 3,776.35
  4. Step 4: Simplify right side
    4,929.79x = 27,875,958.32
  5. Step 5: Solve for x
    x = 27,875,958.32/4,929.79
  6. Step 6: Final answer
    x = 5,654.59

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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.