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Finding the Fourth Proportional to 2,376.59, 3,564.87 and 645.21

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Solution

The fourth proportional to 2,376.59, 3,564.87 and 645.21 is: 967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.59 : 3,564.87 = 645.21 : x
  2. Step 2: Convert to fraction form
    2,376.59/3,564.87 = 645.21/x
  3. Step 3: Cross multiply
    2,376.59x = 3,564.87 × 645.21
  4. Step 4: Simplify right side
    2,376.59x = 2,300,089.77
  5. Step 5: Solve for x
    x = 2,300,089.77/2,376.59
  6. Step 6: Final answer
    x = 967.81

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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.