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Finding the Fourth Proportional to 5,765.21, 8,647.30 and 1,605.30

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Solution

The fourth proportional to 5,765.21, 8,647.30 and 1,605.30 is: 2,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.21 : 8,647.30 = 1,605.30 : x
  2. Step 2: Convert to fraction form
    5,765.21/8,647.30 = 1,605.30/x
  3. Step 3: Cross multiply
    5,765.21x = 8,647.30 × 1,605.30
  4. Step 4: Simplify right side
    5,765.21x = 13,881,510.69
  5. Step 5: Solve for x
    x = 13,881,510.69/5,765.21
  6. Step 6: Final answer
    x = 2,407.81

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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.