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Finding the Fourth Proportional to 2,056.63, 3,085.14 and 669.61

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Solution

The fourth proportional to 2,056.63, 3,085.14 and 669.61 is: 1,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.63 : 3,085.14 = 669.61 : x
  2. Step 2: Convert to fraction form
    2,056.63/3,085.14 = 669.61/x
  3. Step 3: Cross multiply
    2,056.63x = 3,085.14 × 669.61
  4. Step 4: Simplify right side
    2,056.63x = 2,065,840.60
  5. Step 5: Solve for x
    x = 2,065,840.60/2,056.63
  6. Step 6: Final answer
    x = 1,004.48

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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.