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Finding the Fourth Proportional to 4,574.86, 6,861.93 and 1,977.82

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Solution

The fourth proportional to 4,574.86, 6,861.93 and 1,977.82 is: 2,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.86 : 6,861.93 = 1,977.82 : x
  2. Step 2: Convert to fraction form
    4,574.86/6,861.93 = 1,977.82/x
  3. Step 3: Cross multiply
    4,574.86x = 6,861.93 × 1,977.82
  4. Step 4: Simplify right side
    4,574.86x = 13,571,662.39
  5. Step 5: Solve for x
    x = 13,571,662.39/4,574.86
  6. Step 6: Final answer
    x = 2,966.57

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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.