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Finding the Fourth Proportional to 5,687.70, 7,853.87 and 3,566.80

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Solution

The fourth proportional to 5,687.70, 7,853.87 and 3,566.80 is: 4,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.70 : 7,853.87 = 3,566.80 : x
  2. Step 2: Convert to fraction form
    5,687.70/7,853.87 = 3,566.80/x
  3. Step 3: Cross multiply
    5,687.70x = 7,853.87 × 3,566.80
  4. Step 4: Simplify right side
    5,687.70x = 28,013,172.80
  5. Step 5: Solve for x
    x = 28,013,172.80/5,687.70
  6. Step 6: Final answer
    x = 4,925.22

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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.