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Finding the Fourth Proportional to 1,687.81, 2,528.23 and 1,564.78

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Solution

The fourth proportional to 1,687.81, 2,528.23 and 1,564.78 is: 2,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.81 : 2,528.23 = 1,564.78 : x
  2. Step 2: Convert to fraction form
    1,687.81/2,528.23 = 1,564.78/x
  3. Step 3: Cross multiply
    1,687.81x = 2,528.23 × 1,564.78
  4. Step 4: Simplify right side
    1,687.81x = 3,956,115.92
  5. Step 5: Solve for x
    x = 3,956,115.92/1,687.81
  6. Step 6: Final answer
    x = 2,343.93

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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.