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Finding the Fourth Proportional to 5,672.22, 8,509.20 and 1,776.25

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Solution

The fourth proportional to 5,672.22, 8,509.20 and 1,776.25 is: 2,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.22 : 8,509.20 = 1,776.25 : x
  2. Step 2: Convert to fraction form
    5,672.22/8,509.20 = 1,776.25/x
  3. Step 3: Cross multiply
    5,672.22x = 8,509.20 × 1,776.25
  4. Step 4: Simplify right side
    5,672.22x = 15,114,466.50
  5. Step 5: Solve for x
    x = 15,114,466.50/5,672.22
  6. Step 6: Final answer
    x = 2,664.65

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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.