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Finding the Fourth Proportional to 2,583, 3,564.63 and 1,651.50

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Solution

The fourth proportional to 2,583, 3,564.63 and 1,651.50 is: 2,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,564.63 = 1,651.50 : x
  2. Step 2: Convert to fraction form
    2,583/3,564.63 = 1,651.50/x
  3. Step 3: Cross multiply
    2,583x = 3,564.63 × 1,651.50
  4. Step 4: Simplify right side
    2,583x = 5,886,986.45
  5. Step 5: Solve for x
    x = 5,886,986.45/2,583
  6. Step 6: Final answer
    x = 2,279.13

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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.