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Finding the Fourth Proportional to 3,187, 4,782.39 and 1,455.76

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Solution

The fourth proportional to 3,187, 4,782.39 and 1,455.76 is: 2,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187 : 4,782.39 = 1,455.76 : x
  2. Step 2: Convert to fraction form
    3,187/4,782.39 = 1,455.76/x
  3. Step 3: Cross multiply
    3,187x = 4,782.39 × 1,455.76
  4. Step 4: Simplify right side
    3,187x = 6,962,012.07
  5. Step 5: Solve for x
    x = 6,962,012.07/3,187
  6. Step 6: Final answer
    x = 2,184.50

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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.