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Finding the Fourth Proportional to 5,147, 7,102.90 and 3,052.92

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Solution

The fourth proportional to 5,147, 7,102.90 and 3,052.92 is: 4,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147 : 7,102.90 = 3,052.92 : x
  2. Step 2: Convert to fraction form
    5,147/7,102.90 = 3,052.92/x
  3. Step 3: Cross multiply
    5,147x = 7,102.90 × 3,052.92
  4. Step 4: Simplify right side
    5,147x = 21,684,585.47
  5. Step 5: Solve for x
    x = 21,684,585.47/5,147
  6. Step 6: Final answer
    x = 4,213.05

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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.