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Finding the Fourth Proportional to 5,672.89, 7,827.45 and 3,314.58

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Solution

The fourth proportional to 5,672.89, 7,827.45 and 3,314.58 is: 4,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.89 : 7,827.45 = 3,314.58 : x
  2. Step 2: Convert to fraction form
    5,672.89/7,827.45 = 3,314.58/x
  3. Step 3: Cross multiply
    5,672.89x = 7,827.45 × 3,314.58
  4. Step 4: Simplify right side
    5,672.89x = 25,944,709.22
  5. Step 5: Solve for x
    x = 25,944,709.22/5,672.89
  6. Step 6: Final answer
    x = 4,573.46

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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.