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Finding the Fourth Proportional to 2,762.68, 3,813.34 and 1,584.52

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Solution

The fourth proportional to 2,762.68, 3,813.34 and 1,584.52 is: 2,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.68 : 3,813.34 = 1,584.52 : x
  2. Step 2: Convert to fraction form
    2,762.68/3,813.34 = 1,584.52/x
  3. Step 3: Cross multiply
    2,762.68x = 3,813.34 × 1,584.52
  4. Step 4: Simplify right side
    2,762.68x = 6,042,313.50
  5. Step 5: Solve for x
    x = 6,042,313.50/2,762.68
  6. Step 6: Final answer
    x = 2,187.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.