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Finding the Fourth Proportional to 3,510.56, 5,262.05 and 1,865.45

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Solution

The fourth proportional to 3,510.56, 5,262.05 and 1,865.45 is: 2,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.56 : 5,262.05 = 1,865.45 : x
  2. Step 2: Convert to fraction form
    3,510.56/5,262.05 = 1,865.45/x
  3. Step 3: Cross multiply
    3,510.56x = 5,262.05 × 1,865.45
  4. Step 4: Simplify right side
    3,510.56x = 9,816,069.53
  5. Step 5: Solve for x
    x = 9,816,069.53/3,510.56
  6. Step 6: Final answer
    x = 2,796.16

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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.