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Finding the Fourth Proportional to 4,663.76, 6,991.53 and 3,020.78

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Solution

The fourth proportional to 4,663.76, 6,991.53 and 3,020.78 is: 4,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.76 : 6,991.53 = 3,020.78 : x
  2. Step 2: Convert to fraction form
    4,663.76/6,991.53 = 3,020.78/x
  3. Step 3: Cross multiply
    4,663.76x = 6,991.53 × 3,020.78
  4. Step 4: Simplify right side
    4,663.76x = 21,119,839.04
  5. Step 5: Solve for x
    x = 21,119,839.04/4,663.76
  6. Step 6: Final answer
    x = 4,528.51

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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.