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Finding the Fourth Proportional to 5,765.13, 8,647.70 and 1,661.13

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Solution

The fourth proportional to 5,765.13, 8,647.70 and 1,661.13 is: 2,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.13 : 8,647.70 = 1,661.13 : x
  2. Step 2: Convert to fraction form
    5,765.13/8,647.70 = 1,661.13/x
  3. Step 3: Cross multiply
    5,765.13x = 8,647.70 × 1,661.13
  4. Step 4: Simplify right side
    5,765.13x = 14,364,953.90
  5. Step 5: Solve for x
    x = 14,364,953.90/5,765.13
  6. Step 6: Final answer
    x = 2,491.70

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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.