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Finding the Fourth Proportional to 7,114.62, 9,817.27 and 3,970.94

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Solution

The fourth proportional to 7,114.62, 9,817.27 and 3,970.94 is: 5,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.62 : 9,817.27 = 3,970.94 : x
  2. Step 2: Convert to fraction form
    7,114.62/9,817.27 = 3,970.94/x
  3. Step 3: Cross multiply
    7,114.62x = 9,817.27 × 3,970.94
  4. Step 4: Simplify right side
    7,114.62x = 38,983,790.13
  5. Step 5: Solve for x
    x = 38,983,790.13/7,114.62
  6. Step 6: Final answer
    x = 5,479.39

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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.