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Finding the Fourth Proportional to 5,776.32, 8,661.64 and 2,078

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Solution

The fourth proportional to 5,776.32, 8,661.64 and 2,078 is: 3,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.32 : 8,661.64 = 2,078 : x
  2. Step 2: Convert to fraction form
    5,776.32/8,661.64 = 2,078/x
  3. Step 3: Cross multiply
    5,776.32x = 8,661.64 × 2,078
  4. Step 4: Simplify right side
    5,776.32x = 17,998,887.92
  5. Step 5: Solve for x
    x = 17,998,887.92/5,776.32
  6. Step 6: Final answer
    x = 3,115.98

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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.