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Finding the Fourth Proportional to 7,021.62, 9,689.01 and 3,877.62

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Solution

The fourth proportional to 7,021.62, 9,689.01 and 3,877.62 is: 5,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.62 : 9,689.01 = 3,877.62 : x
  2. Step 2: Convert to fraction form
    7,021.62/9,689.01 = 3,877.62/x
  3. Step 3: Cross multiply
    7,021.62x = 9,689.01 × 3,877.62
  4. Step 4: Simplify right side
    7,021.62x = 37,570,298.96
  5. Step 5: Solve for x
    x = 37,570,298.96/7,021.62
  6. Step 6: Final answer
    x = 5,350.66

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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.