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Finding the Fourth Proportional to 5,672.78, 7,832.13 and 5,280.74

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Solution

The fourth proportional to 5,672.78, 7,832.13 and 5,280.74 is: 7,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.78 : 7,832.13 = 5,280.74 : x
  2. Step 2: Convert to fraction form
    5,672.78/7,832.13 = 5,280.74/x
  3. Step 3: Cross multiply
    5,672.78x = 7,832.13 × 5,280.74
  4. Step 4: Simplify right side
    5,672.78x = 41,359,442.18
  5. Step 5: Solve for x
    x = 41,359,442.18/5,672.78
  6. Step 6: Final answer
    x = 7,290.86

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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.