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Finding the Fourth Proportional to 4,702.55, 6,474.74 and 3,992.90

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Solution

The fourth proportional to 4,702.55, 6,474.74 and 3,992.90 is: 5,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.55 : 6,474.74 = 3,992.90 : x
  2. Step 2: Convert to fraction form
    4,702.55/6,474.74 = 3,992.90/x
  3. Step 3: Cross multiply
    4,702.55x = 6,474.74 × 3,992.90
  4. Step 4: Simplify right side
    4,702.55x = 25,852,937.01
  5. Step 5: Solve for x
    x = 25,852,937.01/4,702.55
  6. Step 6: Final answer
    x = 5,497.65

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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.