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Finding the Fourth Proportional to 3,643.67, 5,461.24 and 1,564.80

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Solution

The fourth proportional to 3,643.67, 5,461.24 and 1,564.80 is: 2,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.67 : 5,461.24 = 1,564.80 : x
  2. Step 2: Convert to fraction form
    3,643.67/5,461.24 = 1,564.80/x
  3. Step 3: Cross multiply
    3,643.67x = 5,461.24 × 1,564.80
  4. Step 4: Simplify right side
    3,643.67x = 8,545,748.35
  5. Step 5: Solve for x
    x = 8,545,748.35/3,643.67
  6. Step 6: Final answer
    x = 2,345.37

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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.