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Finding the Fourth Proportional to 5,661.64, 8,493.18 and 1,765.72

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Solution

The fourth proportional to 5,661.64, 8,493.18 and 1,765.72 is: 2,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.64 : 8,493.18 = 1,765.72 : x
  2. Step 2: Convert to fraction form
    5,661.64/8,493.18 = 1,765.72/x
  3. Step 3: Cross multiply
    5,661.64x = 8,493.18 × 1,765.72
  4. Step 4: Simplify right side
    5,661.64x = 14,996,577.79
  5. Step 5: Solve for x
    x = 14,996,577.79/5,661.64
  6. Step 6: Final answer
    x = 2,648.80

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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.