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Finding the Fourth Proportional to 4,651.77, 6,977.51 and 1,141.80

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Solution

The fourth proportional to 4,651.77, 6,977.51 and 1,141.80 is: 1,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.77 : 6,977.51 = 1,141.80 : x
  2. Step 2: Convert to fraction form
    4,651.77/6,977.51 = 1,141.80/x
  3. Step 3: Cross multiply
    4,651.77x = 6,977.51 × 1,141.80
  4. Step 4: Simplify right side
    4,651.77x = 7,966,920.92
  5. Step 5: Solve for x
    x = 7,966,920.92/4,651.77
  6. Step 6: Final answer
    x = 1,712.66

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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.