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Finding the Fourth Proportional to 5,765.19, 8,647.95 and 1,605.51

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Solution

The fourth proportional to 5,765.19, 8,647.95 and 1,605.51 is: 2,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.19 : 8,647.95 = 1,605.51 : x
  2. Step 2: Convert to fraction form
    5,765.19/8,647.95 = 1,605.51/x
  3. Step 3: Cross multiply
    5,765.19x = 8,647.95 × 1,605.51
  4. Step 4: Simplify right side
    5,765.19x = 13,884,370.20
  5. Step 5: Solve for x
    x = 13,884,370.20/5,765.19
  6. Step 6: Final answer
    x = 2,408.31

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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.