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Finding the Fourth Proportional to 2,376.94, 3,564.87 and 645.70

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Solution

The fourth proportional to 2,376.94, 3,564.87 and 645.70 is: 968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.94 : 3,564.87 = 645.70 : x
  2. Step 2: Convert to fraction form
    2,376.94/3,564.87 = 645.70/x
  3. Step 3: Cross multiply
    2,376.94x = 3,564.87 × 645.70
  4. Step 4: Simplify right side
    2,376.94x = 2,301,836.56
  5. Step 5: Solve for x
    x = 2,301,836.56/2,376.94
  6. Step 6: Final answer
    x = 968.40

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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.