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Finding the Fourth Proportional to 5,270.96, 7,905.96 and 1,983.92

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Solution

The fourth proportional to 5,270.96, 7,905.96 and 1,983.92 is: 2,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.96 : 7,905.96 = 1,983.92 : x
  2. Step 2: Convert to fraction form
    5,270.96/7,905.96 = 1,983.92/x
  3. Step 3: Cross multiply
    5,270.96x = 7,905.96 × 1,983.92
  4. Step 4: Simplify right side
    5,270.96x = 15,684,792.16
  5. Step 5: Solve for x
    x = 15,684,792.16/5,270.96
  6. Step 6: Final answer
    x = 2,975.70

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1.5x scale

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.