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Finding the Fourth Proportional to 4,657.80, 6,986.70 and 4,081.80

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Solution

The fourth proportional to 4,657.80, 6,986.70 and 4,081.80 is: 6,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.80 : 6,986.70 = 4,081.80 : x
  2. Step 2: Convert to fraction form
    4,657.80/6,986.70 = 4,081.80/x
  3. Step 3: Cross multiply
    4,657.80x = 6,986.70 × 4,081.80
  4. Step 4: Simplify right side
    4,657.80x = 28,518,312.06
  5. Step 5: Solve for x
    x = 28,518,312.06/4,657.80
  6. Step 6: Final answer
    x = 6,122.70

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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.