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Finding the Fourth Proportional to 2,644.56, 3,639 and 2,564.40

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Solution

The fourth proportional to 2,644.56, 3,639 and 2,564.40 is: 3,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.56 : 3,639 = 2,564.40 : x
  2. Step 2: Convert to fraction form
    2,644.56/3,639 = 2,564.40/x
  3. Step 3: Cross multiply
    2,644.56x = 3,639 × 2,564.40
  4. Step 4: Simplify right side
    2,644.56x = 9,331,851.60
  5. Step 5: Solve for x
    x = 9,331,851.60/2,644.56
  6. Step 6: Final answer
    x = 3,528.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.